profileprofile the centre for nonlinear dynamics was created in recognition of the excellent...

BHARATHIDASAN UNIVERSITY Tiruchirappalli - 620024

Tamilnadu

India

DEPARTMENT OF NONLINEAR DYNAMICS

PROFILE

The Centre for Nonlinear Dynamics was created in recognition of the excellent contributions

made to the field of nonlinear dynamics at the international level and in recognition of the S. S.

Bhatnagar prize (nation's highest science prize) in Physical Sciences awarded to Prof. M. Lakshmanan

(at present Professor of Eminence in the Centre for Nonlinear Dynamics, School of Physics) in 1990

to promote research in this area. In the subsequent years, it was liberally supported by the Department

of Science and Technology (DST) and the Department of Atomic Energy (DAE), Government of

India towards the development of infrastructure, manpower, library and computational facilities.

Today, the Centre is recognized as one of the top-ranking Centres of excellence in Nonlinear

Dynamics at the National and International levels. The Centre has three regular faculty members (1

Professor, One Associate Professor and 1 Assistant Professor) besides Dr. M. Lakshmanan as

Professor of Eminence and two more faculty members (1 Professor and 1 Assistant Professor) from

the Department of Physics forming the Nonlinear Dynamics group. About 33 research scholars have

obtained their Ph.D degree in Nonlinear Dynamics so far and at present 22 students are pursuing their

research towards Ph.D degree. More than 25 post-doctoral fellows have worked at the Centre and at

present 6 post-doctoral fellow are working. In addition, the Centre receives a regular stream of

visiting scholars and scientists from within India and abroad for collaborative research and for

discussion.

The Centre has a very strong expertise in the theoretical, experimental and application aspects

of integrable systems, solitons, optical solitons, solitons in ordered magnetic systems magnetization

switching dynamics solitons in protein and liquid crystals, solitons in DNA molecules, chaos,

quantum chaos, chaos synchronization, time delayed dynamical systems, Bose-Einstein condensation,

spatio-temporal patterns, and nonlinear electronic circuits and systems. During a span of 25 years or

so the Centre has published more than 500 research articles, in internationally reputed scientific

journals with high impact factor, and ten books. It has organized several national and international

conferences, workshops and schools and other meetings in different areas of Nonlinear Dynamics and

Physics. The faculty and students of the Centre have received invitations to visit and collaborate with

reputed groups in many international institutions, both inside and outside the country. Several

prestigious awards and recognitions at the national and international levels have also been received by

members of the faculty including S. S. Bhatnagar Prize, Tamilnadu Scientist Award, Goyal Prize, R.

D. Birla Award, Fellowships of Science Academies, Membership of Editorial Boards of prestigious

journals, Post-Doctoral research Fellowships abroad, Associateship by reputed institutes in abroad,

Guest and Visiting Scientist positions, etc. The Centre has been identified as one of nodal points for

Theoretical Physics Seminar Circuit (TPSC) programme by DST. It has also developed a close

association with the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy.

Several research funding agencies such as DAE, DST, UGC, CSIR, INSA, NBHM, etc. have

sponsored research projects at the Centre. The Centre for Nonlinear Dynamics has been identified as a

Centre for Intensification of Research in High Priority Areas around outstanding persons (IRHPA) by

DST. Grants to the tune of Rs. 87.00 lakhs (1996-2002) and Rs.1.00 crore (2002-2008) has been

sanctioned to carry out research at the Centre and an enhanced grant of Rs.3.5 crores has been

sanctioned for the period 2008-2015 by DST. During the past 15 years, a Library grant on an average

to the tune of Rs. 4.0-5.0 lakhs per annum for this Centre has been sanctioned by DAE-NBHM. The

Centre has developed a high performance computing facility through support received mainly from

DST.

From the academic year 2018-2019 the Centre for Nonlinear Dynamics has been reconstructed into the Department of Nonlinear Dynamics under School of Physics.

Preface

Prof. M. Lakshmanan receiving S.S.Bhatnagar

(India’s Highest Scientific Award) - 1989 U.G.C. Hari Om Trust - Meghnad Saha

Award in Theoretical Sciences - 1990

National Recognitions

International Recognitions

Prof. M. Lakshmanan Elected Fellow of the Academy of

Sciences for the Developing World (FTWAS) - 2009

1

• To carry out Basic, Applied andAdvanced Research in various fieldsof Physics/Nonlinear Dynamics.

2

• To associate with institutions andindustries in a meaningful way totransfer technology.

To conduct world-classResearch programmes inTheoretical Physics/NonlinearDynamics.

Vision

To carry out AdvancedResearch in different areas ofPhysics/Nonlinear Dynamics.

Mission

Objectives

Prof. K. Thamilmaran Professor and Head

Dr. M. Senthilvelan

Associate Professor

Prof. M. Lakshmanan

Professor of Eminence &

DST – SERB Distinguished Fellow

Faculty Members

Area of Research/ Specialization

1. Nonlinear Dynamics, Chaos, Synchronization of Chaos, State Controlled Cellular Neural Network (SC-CNN),

Nonlinear Electrical Circuits and its Applications.

2. Transient chaos, Extreme events, Bifurcation delay in a

network oscillators.

3. Fractional order systems, revival of oscillations from

death in coupled nonlinear oscillators.

Dr. K. THAMILMARAN Professor & Head

Achievements made in Teaching/Research/Extension No. of Research Publications : 50 No. of papers presented in Conferences : 21 h-index : 15 i-10 index : 20 Total Citations : 711 Patents Granted/Filed : -- Products Developed : -- Projects Completed/Ongoing : 2 Consultancies Completed/Ongoing : --

Research Group Members

Present Members Past Members

1. Mr. P. Meghavarna Ezhilarasu

2. Mr. S. Dinesh Vijay

3. Mr. J. Palanivel

4. Mr. J. Umar Malik

5. Mr. T. Pakiaraj

1. Dr. P. S. Swathy

2. Dr. R. Jothimurugan

3. Dr. K. Suresh

4. Dr. S. Sabarathinam

5. Dr. D. Premraj

6. Mr. S. Leo Kingston

For more details visit:

http://www.bdu.ac.in/schools/physics/non-linear-dynamics/docs/faculty/dr_k_thamilmaran.pdf

https://scholar.google.co.in/citations?user=anu3xtgAAAAJ&hl=en

Faculty Profile

http://www.bdu.ac.in/schools/physics/non-linear-dynamics/docs/faculty/dr_k_thamilmaran.pdfhttps://scholar.google.co.in/citations?user=anu3xtgAAAAJ&hl=en


Dynamical Systems (Classical and

Quantum)

Mathematical Methods

Quantum Entanglement Dr. M. SENTHILVELAN Associate Professor

Achievements made in Teaching/Research/Extension No. of Research Publications : 130

No. of papers presented in Conferences : 15

h-index : 24

i-10 index : 52

Total Citations : 1882

Extension : Resource Person in several Faculty Development Programmes

Products Developed : --

Projects Completed/Ongoing : 06/ 03

Teaching : Teaching modules were developed in the topics Vector Calculus and Statiscal Mechanics

Awards and Recognitions Awarded Postdoctoral research fellowship for the year 2000-’03 by the University of

Sydney, Sydney, Australia.

Awarded Fundacao de Amparoa Pesquisa do Estado de Sao Paulo (FAPESP, Brazil) Postdoctoral research fellowship for the year 1998 – ’2000.

Awarded Consiglio Nazionale delle Ricerche (National Research), Italy, Postdoctoral research fellowship for the year 1997 – ’98.

Awarded Senior Research Fellowship by Council of Scientific and Industrial Research, Government of India for the year 1992 – ’95.

Qualified in Graduate Aptitude Test in Engineering (GATE) in the year 1989 with an overall percentile score of 84.73 conducted by Ministry of Human Resources, Government of India.



1. S. Sudharsan

2. S. Thamizharasan

3. Nissi Thomas

4. N. Sinthuja

1. Dr. V. Chithika Ruby

2. Dr. N. Vishnu Priya

3. Dr. R. Mohanasubha

4. Dr. N. Ananth

5. Dr. K. Manikandan

6. Dr. K. Premalatha

7. Ms. S. Karthiga

8. Mr. S. Stalin


http://www.bdu.ac.in/schools/physics/non-linear-dynamics/docs/faculty/dr_m_senthil_velan.pdf

https://scholar.google.co.in/citations?user=LuWsn-8AAAAJ&hl=en&oi=ao

http://www.bdu.ac.in/schools/physics/non-linear-dynamics/docs/faculty/dr_m_senthil_velan.pdfhttps://scholar.google.co.in/citations?user=LuWsn-8AAAAJ&hl=en&oi=ao


Theoretical/ Mathematical Physics

with special reference to Nonlinear

Dynamics

Solitons

Chaos

Prof. M. LAKSHMANAN Professor of Eminence &

DST-SERB Distinguished Fellow

Achievements made in Teaching/Research/Extension No. of Research Publications : 340 No. of papers presented in Conferences : 26 h-index : 58 i-10 index : 228 Total Citations : 12763 Patents Granted/Filed : -- Products Developed : -- Projects Completed/Ongoing : 19/ 04 Consultancies Completed/Ongoing : --

Awards and Recognitions

University Grants Commission Career Award for Young Scientists (1980).

Raman Research Prize-Gold Medal, University of Madras (1980).

Best University Teacher Award (1984), Govt. of Tamil Nadu.

S.S. Bhatnagar Prize in Physical Sciences (1989) (India's highest scientific prize).

Member, National Board for Higher Mathematics (1989-92).

Fellow of the Indian National Science Academy (1992).

Fellow of the Indian Academy of Sciences (1991).

Fellow of the National Academy of Sciences, India (1989).

Prof. G. Sankaranarayanan Endowment Lecturer, Annamalai University (1991).

Tamilnadu Scientists Award (TANSA) – 1993/94.

U.G.C. Hari Om Trust - Meghnad Saha Award in Theoretical Sciences (1990).

Hari Om Ashram Prerit Shri Hari Vallabhdas Chunilal Shah Research Endowment Prize –

1996

Dr. Biren Roy Memorial Lecture Award of INSA – 1998.

Foreign Member, Royal Academy of Sciences, Uppsala, Sweden (1999).

Professor M.M. Thomas Endowment Lectureship Award, Bishop Moore College,

Mavelikara (2001)

Awarded ICTP Senior Associate Fellowship, Trieste, Italy (2002-2008).

76th Indian Science Congress Madurai Kamaraj University Distinguished Scientist Award

(2004).

Dr. V. Shanmuga Sundaram Endowment Lectureship Award, Annamalai University

(2005).

Professor Vishnu Vasudeva Narlikar Memorial Lecture Award of INSA - 2006 (Given in

2008).

Goyal Prize in Physics 2005 (given in 2008).

A.C. Banerjee Memorial Lecture Award of National Academy of Sciences -2007.

Conferred Doctor of Science (Honoris Causa) by University of Burdwan for outstanding

contribution to Nonlinear Dynamics (2009).

Elected Fellow of the Academy of Sciences for the Developing World (FTWAS) - 2009.

NASI – Platinum Jubilee Senior Scientist (2016).

R. D. Birla Award for Excellence in Physics – 2014 by Indian Physics Association.

Selected DST – SERB Distinguished Fellow (2017).



1. Dr. A. Govindarajan

2. Dr. R. Arun

3. Dr. V. Chithika Ruby

4. S. Stalin

5. R. Ramakrishnan

6. M. Sathish Aravind

Please see Faculty Profile given below


http://www.bdu.ac.in/schools/physics/non-linear-dynamics/docs/faculty/dr_m_lakshmanan.pdf

https://en.wikipedia.org/wiki/Muthusamy_Lakshmanan

https://scholar.google.co.in/citations?user=OP7lpFkAAAAJ&hl=en&oi=ao

http://www.bdu.ac.in/schools/physics/non-linear-dynamics/docs/faculty/dr_m_lakshmanan.pdfhttps://en.wikipedia.org/wiki/Muthusamy_Lakshmananhttps://scholar.google.co.in/citations?user=OP7lpFkAAAAJ&hl=en&oi=ao

Retired Faculty


Nonlinear Dynamics of Ordered Magnetic Systems, Liquid Crystals, Bio-molecularSystems and Nonlinear

Electronic Circuits.

Magnetization Switching Dynamics in Nanostructured Magnetic Materials.

Soliton and Chaos in Nonlinear Dynamical Systems. Prof. M. Daniel

Achievements made in Teaching/Research/Extension No. of Research Publications : 90 No. of papers presented in Conferences : 22 h-index : 22 i-10 index : 36 Total Citations : 1325 Patents Granted/Filed : -- Products Developed : -- Projects Completed/Ongoing : -- Consultancies Completed/Ongoing : --

Awards and Recognitions Post-doctoral visitor at Princeton University, New Jersey and Rutgers University, New

Brunswick, USA for two months in 1991.

Visiting scientist at the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy in 1983, 1991, 1992, 1994, 1995, 2001, 2002, 2003, 2005 and 2009.

Visiting Fellow at the University of New South Wales, Kensington, Australia during October-December 1993.

Guest Scientist at the Neutron Scattering Centre, Hahn-Meitner Institute, Berlin, Germany during July 10-24, 1994.

Visiting Scientist at the Hahn-Meitner Institute, Berlin, Germany during 1996-97 under the bilateral exchange programme of INSA and DFG (Germany)

Biographical data included in the 14th and 18th Editions (1994 and 1998) of Marquis "Who's Who in the World” published in U.S.A.

Listed among the 200 researchers worldwide in the “Who’s Who of Physics of Life” by Elsevier Science Publishing, The Netherlands, in appreciation of my work on protein

molecules with interspine coupling.



1. K. Prabakaran

1. Dr. R. Amutha 2. Dr. M. M. Latha 3. Dr. V. Veerakumar 4. Dr. L.Kavitha 5. Dr. K. Gnanasekaran 6. Dr. Vasumathi 7. Dr. J. Beula

8. Dr. P. Sabareesan 9. Dr. M. Vanitha 10. Dr. A. Arulgnanam 11. Dr. R. Arun 12. Dr. D. Aravindhan 13. D. Giridharan

Department of Science

and Technology

Government of India

Centre for Scientific

and Industrial Research

Government of India

University Grants

Commission

Government of India

Department of Atomic

Energy

Government of India

National Board for

Higher Mathematics

Government of India

Indian National Science

Academy

Government of India

Science & Engineering

Research Board

Government of India

Innovation in Science

Pursuit for Inspired

Research

Government of India

49%

19%

8%

7%

6%

5%4%2%

Funds Received

Funding Agency

Citations in Each Year

(Web of Science)

Sum of the Times Cited: 7212 h-index: 43

Articles published

in

Publications in International Journals

S. No. Conferences/Workshops/Seminars Period

1. NMI workshop on “Nonlinear Intergable Systems and their

Applications”

February 24- March

01, 2014

2. Sixth National Conference on Nonlinear Systems and

Dynamics (NCNSD-2011) January 27-30 2011

3. DST-SERC School on “Nonlinear Dynamics” January 04 - 26 2011

4. National Workshop And Conference On

Computational Methods For Nonlinear Dynamics

September 22-25,

2010

5. Seminar on “Frontier Topics in Fundamental Physics” March 30-31, 2009

6. Frontier Topics in Theoretical Physics March 29-30, 2009

7. National Seminar on Nonlinear Electronics and Pintronics March 20- 21, 2009

8. International Conference on “Nonlinear Dynamics” February 13 – 16,

2008

9. Workshop on “High Performance Computing” August 6 – 9, 2007

10. Seminar on Bifurcation, Chaos, Synchronization and

Applications December 6 – 7, 2005

11. Seminar on “Recent Developments in Physics” November 21-22,

2005

12. 71st Annual Meeting of Indian Academy of Sciences November11-13, 2005

13. International Conference on "Nonlinear Dynamics:

Integrability and Chaos" February 12-16, 1998

14. Workshop on "Recent Developments in Chaotic Dynamics" December 9-13, 1996

15. Winter School on "Integrable Systems and Low

Dimensional Many-Body Problems"

Dececember18-23,

1995

16. Winter School on 'Analysis, Manifolds and Physics' December 20, 1992 -

January 9, 1993.

Ph. D. Physics

Eligibility: M.Sc. / M.Phil. Physics

Selection Procedure:

Selection will be made on the basis of merit list prepared by Bharathidasan University through

Ph.D. entrance exam.

Programmes offered

Conferences/ Workshops/ Seminars organized

S. No. Name Reg. No. Fellowship

1. Chithiika Ruby V PH6829 CSIR

2. Subash B PH6575 DST-Phase II

3. Vishnu Priya N PH43638 UGC

4. Gopal R PH10885 DST Phase-III

5. Aravinthan D PH34151 DST-INSPIRE

6. Giridharan D PH34160 DST-INSPIRE

7. Manikandan K PH34149 UGC

8. Mohanasubha R PH18333 UGC

9. Stalin S PH36011 DAE

10. Sabarathinam S PH45626 UGC-RFSMS

11. Premalatha K PH413006 DAE

12. Karthiga S PH7928 DST

13. Leo Kingston S PH38454 UGC-RFSMS

14. Premraj D PH45645 UGC-RFSMS

15. Megavarna Ezhilarasu P PH17387 DST-SERB

16. Ramakrishnan R PH40000 DAE

17. Sudharsan S PH39998 DST-INSPIRE

18. Thamizharasan S PH39999 DST-SERB

19. Dineshvijay PH06107 URF

20. Sinthuja N PH08519B URF

Details of Fellowships being availed by the Research

Scholars/Project Staff

S. No. Reg. No. Name Exam(s) Qualified

1. PH6829 Chithiika Ruby V CSIR - SRF

2 PH7928 Karthiga S NCB-GATE for MHRD

3. PH34160 Giridharan D SET- Govt. of Tamilnadu

4. PH7928 Karthiga S SET- Govt. of Tamilnadu

5. PH39998 Sudharsan S SET- Govt. of Tamilnadu

Awards Received by students/scholars Year Name of the

Awarded Students

National Awards

Name of the Award Awarding

Institution

2017-18 S. Leo kingston &

D. Premraj

5th International Conference on

“Complex Dynamical Systems

and Applicatons , 2017 with

cash Award Rs. 5000/- held at

Indian Institute of Technology,

Guwahati

American Chemical

Society, North West

Washington, USA

2017-18 Sudharsan S DST -INSPIRE DST

2017-18 Manikandan K National Post – doctoral

Fellowship

DST-SERB

2017-18 Mohanasubha R Kothari Fellowship UGC

2016-17 Sabarathinam S National Post – doctoral

Fellowship

DST-SERB

2016-17 Vishnupriya N Kothari Fellowship UGC

2016-17

Subash B

National Post – doctoral

Fellowship

DST-SERB

2013-14 Giridharan D DST -INSPIRE DST

2013-14 Karthiga S DST -INSPIRE DST

2013-14 Aravinthan D DST -INSPIRE DST

2010-2014 Chandrasekar V K Associate in the Indian

Academy Science

IAS

2010 –2013 Senthilkumar D V Research Scientist, Potsdam

Institute for Climate Impact

Research, Potsdam, Germany

Potsdam Institute,

Germany

Students’ Achievements

Country List of Colloborators

USA M.D. Kruskal, E.C.G. Sudarshan, L.O. Chua, J.R.

Klavder, Avadh Saxena

U.K

R.K. Bullough, P. Caudrey, W. Zakrzewski, A.

Parker, A.N.W. Hone, J. Nimmo, D.E. Parker,

Michael Berry,

C.R. Gilson

Spain Jose F Carinena, Manuel F Ranada, P.R. Gordoa, A.

Pickering, M.L. Gandarias, M.S. Bruzon

Japan H. Hasegawa, T. Kato, K. Nakamura, M. Wadati,

Yoshinori Okazaki

Collaborators Abroad

UK15%

Spain10%

USA8%

Japan8%

Australia8%

Kazhakastan8%

Poland5%

France5%

Sweden5%

China3%

Canada3%

Germany3%

Greece3%

Netherland3%

Brazil2%

Italy2%

Finland2%

Belgium2%

Srilanka2%

Country Wise Distribution

Australia R. Quispel, C.J. Thompson, K.A. Ross, K.P. Dabke,

Nail Akhmediev

Kazhakastan R. Myrzakulov, R.N. Syzdykova, A.K. Danlybaeva,

K.R. Yesmakhanova, G.N. Nugmanova

Poland T. Kapitaniak, Z. Popowicz, M. Jaworski

France B. Grammaticos, Alfred Ramani, R. Conte

Sweden P.O. Froman, N. Froman, F. Karlsson

China Li Yi Shen, Xiaoyan Tang

Germany Ulrike Feudel, J. Kurths

Canada Alexei F. Cheviakov, G. Bluman

Greece T. Bountis, L.B. Drossos

Netherland Th.W. Ruijgrok, L.F.J. Broer

Other

Countries

R.A. Kraenkel (Brazil), M. Torrisi (Italy),

J. Hietarinta (Finland), P. Gaspard (Belgium),

A.G. Johnpillai (Srilanka)

Year of

passing Name

Name of the

Supervisor/Convenor Present Position

1981 Kaliappan P Prof. M. Lakshmanan Deceased

1983 Daniel M Prof. M. Lakshmanan

CEO, DRSNS Rajalakshmi college of

Arts & Science

QAP, Director, SNS Group of

Instituitions

1986 Tamizhmani K.M Prof. M. Lakshmanan Professor of Mathemaics,

Pondicherry University (Deceased)

1987 Sahadevan R Prof. M. Lakshmanan

UGC Emeritus Professor, Ramanujan

Institute of Advanced Study in

Mathematics University of Madras,

Chennai

1988 Ganesan S Prof. M. Lakshmanan Professor, Govt. College of

Technology, Coimbatore.

1991 Porsezian K Prof. M. Lakshmanan Professor of Physics, Pondicherry

University (Deceased)

1992 Rajasekar S Prof. M. Lakshmanan

Professor, Department of Physics,

Bharathidasan University,

Tiruchirappalli

1993 Ganesan K Prof. M. Lakshmanan

Director, Senior Professor, School of

IT & Engg. Vellore Institute of

Technology, Vellore

1993 Parthasarathy S Prof. M. Lakshmanan

Head, Department of Bio-

Informatics, Bharathidasan

University, Tiruchirapalli

1995 Murali K Prof. M. Lakshmanan Professor, Department of Physics,

Anna University, Chennai

1996

Senthilvelan M Prof. M. Lakshmanan

Associate Professor, Department of

Nonlinear Dynamics, Bharathidasan


Radha R Prof. M. Lakshmanan

Associate Professor and Head,

Government College for Women,

Kumbakonam

1997 Amuda R Prof. M. Daniel


Physics P.S.G. College of

Technology, Coimbatore

1998 Radhakrishnan R Prof. M. Lakshmanan


Physics, Jamal Mohamed College,

Tricuhirapalli

2000 Muruganandam P Prof. M. Lakshmanan Associate Professor, Department of

Ph. D. Awardees

Physics, Bharathidasan University,

Tiruchirapalli

Venkatesan A Prof. M. Lakshmanan


Physics, Nehru Memorial College,

Puthanampatti

2002

Athavan N Prof. M. Lakshmanan Head, Department of Physics, H.H.

The Rajah's College, Pudukkottai

Latha M.M Prof. M. Daniel

Head, Department of Physics,

Women's Christian College,

Nagerooil

2003

Kanna T Prof. M. Lakshmanan


Physics, Bishop Heber College,

Tiruchirapalli

Kavitha L Prof. M. Daniel

Professor and Head, Department of

Physics, Central University of

Tiruvarur, Tiruvarur

2004

Vijayalakshmi S Prof. M. Lakshmanan Associate Professor, Department of

Physics, Presidency College, Chennai

Veerakumar V Prof. M. Daniel Senior Research Associate, Seagate

Technologies, USA

2005 Thamilmaran K Prof. M. Lakshmanan



University, Tiruchirapall

2006 Palaniyandi P Prof. M. Lakshmanan


Physics, Nehru Memorial College,

Puthanampatti

2007

Bindu P.S Prof. M. Lakshmanan


Physics, Lady Doak College,

Madurai

Senthilkumar C Prof. M. Lakshmanan

Professor of Physics, Vinayaka

Mission’s, Kirupananda Variar,

Engineering College, Salem

Senthilkumar D.V Prof. M. Lakshmanan Assistant Professor, Department of

Physics, IISER, Trivandrum

2008 Gnanasekaran G Prof. M. Daniel Retired from Professor from Nehru

Memorical College, Puthanampatti

2009

Vasumathi V Prof. M. Daniel Assistant Professor, Department of

Physics, Holy Cross College, Trichy

Chandrasekar V.K Prof. M. Lakshmanan Senior Assistant Professor, Sastra

University, Thanjavur

2010 Beula, J Prof. M. Daniel Retired from Women's Christian

College, Nagerocoil

2011

Rajendran S Prof. M. Lakshmanan Assistant Professor, Department of

Physics, T.B.M.L. College, Porayar

Gladwin Pradeep R Prof. M. Lakshmanan Assistant Professor, KCG College of

Sabareesan B Prof. M. Daniel Associate Professor, Sastra


Vijajayanthi M Prof. M. Lakshmanan DST Young Scientist Fellow, B.S.

Abdur Rahman University, Chennai

2014

Suresh R Prof. M. Lakshmanan Assistant Professor, Sastra


Vanitha M Prof. M. Daniel

Research Staff, Nanyang

Technological University, Singapore

Chithika Ruby V Dr. M. Senthilvelan

Research Associate, Department of



2015

Swathy P.S. Prof. K. Thamilmaran Assistant Professor, SNS college of

Technology, Coimbatore

R. Jothimurugan Prof. K. Thamilmaran

Assistant Professor, P.SNA College

of Engineering Technology,

Dindugul

2016

Durgadevi R Prof. M. Lakshmanan Assistant Professor, Department of

Physics, Sastra University, Thanjavur

Vishnupriya N. Dr. M. Senthilvelan Kothari Fellow, Indian Institute of

Science, Bangalore

Ananth N Dr. M. Senthilvelan

Assistant Professor, Department of

Physics, Bishop Heber College,

Tiruchirapalli

Subash B Prof. M. Lakshmanan King Abdullah University of Science

& Technology, Saud Arabia

Suresh K Prof. K. Thamilmaran

National Post doctoral Fellow,

Jawaharl Nehru University, New

Delhi

Arulgnanam A Prof. K. Thamilmaran Associate Professor, St. John’s

College, Palayankottai, Tirunelveli

Mohanasubha R Dr. M. Senthilvelan Kothari Fellow, Anna University,

Chennai

Sabarathinam S Prof. K. Thamilmaran

National Post doctoral Fellow,

Jawaharl Nehru University, New

Delhi

2017

Arun R Prof. M. Daniel

Research Associate, Department of


University, Tiruchirapal

Aravinthan D Prof. M. Daniel


Physics, Central University of

Tiruvarur, Tiruvarur

Manikandan K Dr. M. Senthilvelan

National Post Doctoral Fellow,

National Institute of Technology,

Trichy

Ishaq Ahamed A Prof. M. Lakshmanan


Physics, Jamal Mohamed College,

Trichy

2018 Premalatha K Dr. M. Senthilvelan


Physics, P.S.G. College of Arts &

Science, Coimbatore

2019 Premraj D Prof. K. Thamilmaran Viva-Voce exam completed on 21-

01-2019

High Performance Computing and Network Facilities

The department has advanced computing laboratory with UNIX based cluster, servers,

workstations and personal computers with network. The laboratory is widely used by the faculty

members, research students and post-graduate students for their research, project work and

computational experiments.

S. No Name of the equipment Cost

1. 32 – Node Computer Cluster INR 1,00,00,000

2. 6 – Node Computer Cluster INR 10,00,000

3. Silicon Graphics Fuel Workstation US$ 14,100

4. Intel Xenon Servers and Personal Computers INR 10,00,000

5. HP 33120 A, 15 MHz Function Generator with option

106 Benchlink

INR 2,40,000

6. Dual Trace Storage Oscilloscope INR 2,00,000

7. 15 MHz Function and wave form generator US$ 3,027

8. Programmable Current Source US$ 4,405

9. Sun Fire Server : Model V 880 US$ 30,000

10. LCR Meter (100 Hz-5Mhz) INR 2,50,000

11. Mixes Signal Oscillascope INR 7,96,000

12. 15MHz Arbitrary Waveform Generator INR 2,90,000

13. Programmable Power Supply INR 1,24,000

14. Pspice Software INR 1,75,000

15. Agilent Data Acquisition INR 1,96,000

Facilities

32 Node Cluster 6 Node Cluster

Chiller

High Performance Computing Lab

High Performing Cluster Nodes

The nonlinear electronics laboratory has facilities to carry out experimental studies in research

areas such chaos, chaos synchronization and investing new electronic circuits besides to carry

practicals at advanced graduate level.

The following are some of the major equipments available in the nonlinear electronics laboratory.

Digital Storage Oscilloscopes (4 channel and 2 channel)

Arbitrary waveform generator

Analog to Digital converter

E3631A Programmable DC power supply

Arbitrary waveforms generator (33250A 80 MHz)

Mixed Signal Oscilloscope DSO 5014A

LCR Resistance meters (E4980A & 4263B)

Spectrum analyzer (N9320A)

D/A converter (U2351A data acquisition card): PC to circuits

OrCAD Pspice.

Nonlinear Electronics Lab

The Department has a world class library which is specially supported by the National Board for

Higher Mathematics (NBHM) of DAE and Bharathidasan University. It has a very good collection

of books required for research in nonlinear dynamics in the department. At present nearly 2600

books on nonlinear dynamics are available in the library. There is an online catalogue system

available in the library for easy access to the books. The above special grant also supports

subscription of nearly 30 international journals in the area of nonlinear dynamics. It is also has a

collection of a good number of back volumes of several journals in nonlinear dynamics (some of

them are in full collection). Also faculty members and Research students have access to many

electronic journals.

Library Facilities

Our Students with Foreign and Indian Experts

Our students during conference at IIT- Guwahati

Special CSIR-UGC NET classes for M.Sc., Students by Prof. S. V. N. Sathyanarayana of

Pondicherry University

The Department of Nonlinear Dynamics faculties are jointly teaching for M.Sc., and M.Phil.,

courses with Department of Physics. As the department have own Projectors, Laptop with internet facilities, we have used the

Computer based Teaching and Learning methods. To enhance students understanding on several theoretical topics, we have prepared our own

module by using power point and Mathematica.

All our Ph.D. scholars are much sought after by leading research groups and academic institutions

all around the world. Many of them have obtained post-doctoral and research/staff positions in

Germany, France, Italy, Japan, U.S.A. and Australia as well as in leading universities and colleges

in Tamilnadu and in other parts of the country.

Dr. K. Porsezian, Dr. K. Ganesan, Dr. K. Murali, Dr. M. Senthilvelan, Dr. S.Parthasarathy, Dr. S.

Selvaraj, Dr. P. Muruganandam and Dr. V. Veerakumar were awarded prestigious postdoctoral

research positions in well known universities/institutes in Brazil, England, France, Germany,

Ireland, Italy, Japan, Taiwan and U.S.A. Dr. D. V. Senthilkumar has been awarded Alexander von

Humboldt Foundation Fellowship for postdoctoral research in Germany recently.

Distinguished Alumni

Departmental Activities

Innovative Teaching

Our former research students have been employed at various levels, in Institute, in universities

including Bharathidasan University, University of Madras, Pondicherry University and Anna

University (Chennai). These include Dr. D. V. Senthilkumar (IISER, Thiruvanandhapuram), Dr. S.

Rajasekar (Professor, Bharathidasan University), Dr. K. M. Thamizhmani (Professor, Pondicherry

University), Dr. K. Porsezian (Professor, Pondicherry University), Dr. R. Sahadevan (Professor,

University of Madras), Dr. K. Murali (Associate Professor, Anna University, Chennai), Dr. M.

Senthilvelan (Associate Professor, Bharathidasan University), Dr. P. Muruganandam (Associate

Professor, Bharathidasan University) and Dr. L. Kavitha (Assistant Professor, Periyar University).

A large number of scholars have been absorbed into the Tamilnadu state services. The list includes

Dr. R. Radha, Dr. R. Amuda, Dr. R. Radhakrishnan, Dr. A. Venkatesan, Dr. N. Athavan, Dr. S.

Vijayalakshmi, Dr. T. Kanna and Dr.P.Palaniyandi.

-----------------------------------------------------------------------------------------------------------------------

Name Professor and Head

Department of Nonlinear Dynamics

Bharathidasan University

Tiruchirappalli - 620 024

Tamil Nadu, India

Tel: +91 431 - 2407093

Fax:+91 431- 2407093

E-Mail: [email protected]

[email protected]

Web: www.bdu.ac.in

mailto:[email protected]:[email protected]://www.bdu.ac.in/

S.

No

Principal

Investigator Project Title

Period Fundin

g

Agency

Amou

nt

₹ (in

lakhs)

From To

1. Prof. M. Lakshmanan Moving curves and surfaces in

potential fields: Geometrical

connections to spin systems and

soliton equations

2015 2018 DAE 12

2. Prof. K. Thamilmaran Dynamics of memristor based

coupled chaotic circuits

2013 2017 DST-

SERB

32.04

3. Dr. M. Senthilvelan Multi-Rogue wave solutions of

certain coupled nonlinear

Schrödinger equations.

2013 2016 NBHM 9.67

4. Dr. M. Senthilvelan Classical and quantum dynamics

of certain PT symmetric

(reversible) Lienard type

nonlinear oscillator

2013 2016 DST-

SERB

19.35

5. Prof. K. Thamilmaran Experimental Students on the

Dynamical of Coupled Nonlinear

Electronic Oscillators

2011 2014 DST-

SERB

7.6

6. Prof. M. Lakshmanan DST Ramanna Fellowship

project

2011 2014 DST 33

7. Dr. M. Senthilvelan On the dynamics of certain two

component Generalization of

Camassa - Holm and Degasperis

– Processi equations

2010 2013 UGC 8.29

8. Dr. M. Senthilvelan Applied Nonlinear Physics: Indo-

Brazil Joint Research Project

2009 2012 DST 12.22

9. Prof. M. Lakshmanan Establishment of a Nonlinear

Dynamics Unit – Phase III

2008 2015 DST 284.00

10. Dr. M. Senthilvelan On the invariance, linearization

and integrability of certain

nonlinear dynamical systems

2008 2011 DST 10.39

Research Projects – Appendix I

S.

No

Principal

Investigator Project Title

Period

Funding

Agency

Amoun

t

₹ (in

lakhs)

From To

11. Dr. M. Senthilvelan A New approach to integrability of a class of nonlinear ordinary and partial differential equations

2007 2011 NBHM 6.32

12.

Prof. M. Lakshmanan DST Ramanna Fellowship Grant 2007 2010 DST 40.2

13. Prof. M. Lakshmanan Spatio-temporal Patterns and Localized Structures in Nonlinear

Schrodinger Family of Equations in (2+1) Dimensions

2004 2007 DAE 13.0

14. Prof. M. Lakshmanan Establishment of a Nonlinear Dynamics Unit – Phase II

2002 2007 DST 100.12

15. Prof. M. Lakshmanan Integrability and Nonintegrability of Nonlinear

Differential Equations: Role

of Symmetries and Singularity Structures

2001 2004 DAE 7.2

16. Prof. M. Lakshmanan Optical Soliton Interactions in Birefringent Fibers

2002 2005 CSIR 12.0

17. Prof. M. Lakshmanan Nonlinear Differential Equations of Diffusive Type: Spatio

Temporal Patterns Bifurcation and Chaos

1998 2001 DAE 5.0

18. Prof. M. Lakshmanan Establishment of a Nonlinear Dynamics Unit

1995 2002 DST 83.0

19. Prof. M. Lakshmanan Symmetry, Singularity Structure and Bifurcation Aspects of

Certain Nonlinear Differential Equations

1994 1997 DAE 2.0

20. Prof. M. Lakshmanan Nonlinear Dynamics of Magnetic Systems: Coherent and Chaotic Stuctures

1990 1995 DST 6.25

21. Prof. M. Lakshmanan Classical and Quantum chaos in Rydberg Atoms in External Field

1900 1994 CSIR 4.0

Ongoing Projects

S.

No.

Principal

Investigator

Project Title Period Funding

Agency

Amount

₹ (in

lakhs) From To

1. Dr. M. Senthilvelan Nonstandard

Bilinearization and

PT-invariant

Localized Solution of

Certain PT-invariant

Nonlocal Nonlinear

Schrödinger

Equation

2018 2021 NBHM 13.73

2. Prof. M. Lakshmanan DST-SERB

Distinguished

Fellowship Project

2018 2023 DST 125

3. Dr. M. Senthilvelan Exploring the

dynamics, control

mechanisms and

novel structures in

certain PT symmetric

systems

2017 2020 DST-SERB 18.85

4. Dr. M. Senthilvelan Collective

Dynamical states of

coupled Nonlinear

Oscillators

2017 2020 CSIR 7.51 (2 years

Grant)

5. Prof. M. Lakshmanan Collective

Dynamical

Structures in

Coupled Nonlinear

Oscillators

2016 2019 DST 29

6. Prof. M. Lakshmanan Nonlinear Dynamics

of Spin Transfer

Nano Oscillators

(STNOs)

2015 2019 CSIR 15

7. Prof. M. Lakshmanan

Library Grant to the

Centre for Nonlinear Dynamics

From the year 1990

onwards.

Annual Grant

DAE

(NBHM)

4.30

Per year

Appendix II

List of Research Publications since 2013-14

1. S Stalin, R Ramakrishnan, M Senthilvelan, M Lakshmanan, Nondegenerate solitons in

Manakov system, Phys. Rev. Lett. (2018) To Appear.

2. A Govindarajan, Amarendra K Sarma, M Lakshmanan, Tailoring PT -symmetric soliton

switch, Accepted Optics Letters (2018) To Appear.

3. S. Stalin, M. Senthilvelan and M. Lakshmanan, “Energy Sharing Collisions and the Dynamics

of Degenerate Solitons in the nonlocal Manakov System”, Nonlinear Dyn. (2018) To appear

4. S. Stalin, M. Senthilvelan and M. Lakshmanan, Degenerate soliton solutions and their

dynamics in the nonlocal Manakov system: I Symmetry preserving and symmetry breaking

solutions, Nonlinear Dyn. 95, 343 (2019).

5. N. Vishnu Priya, G.Rangarajan, M. Lakshmanan and M.Senthilvelan, On Symmetry

Preserving and Symmetry Broken Bright, Dark and Antidark Soliton Solutions of Nonlocal

Nonlinear Schrodinger Equation, Phys Letts. A 383, 15 (2019).

6. K. Manikandan, S. Stalin and M. Senthilvelan, Dynamical behaviour of solitons in a PT-

invariant nonlocal nonlinear Schrodinger equation with distributed coefficients, Eur. Phys. J. B

91, 291 (2018).

7. K. Manikandan, N. Vishnu Priya, M. Senthilvelan and R. Sankaranarayanan, Deformation of

dark solitons in a PT-invariant variable coefficients nonlocal nonlinear Schrodinger equation,

Chaos 28, 083103 (2018).

8. S.Kartiga, V. Chithiika Ruby and M.Senthilvelan, An inclusive SUSY approach to position

dependent mass systems, Phys Letts. A 381 (2018).

9. K. Premalatha, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Stable amplitude

chimera states in a network of locally coupled Stuart-Landau oscillators, Chaos 28, 033110

(2018)

10. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, On the

interconnections between various analytic approaches in coupled first-order nonlinear

differential equations, Comm. Nonlinear Sci. and Num. Sim 62 213 (2018).

11. R. Mohanasubha, V. K. Chandrasekar and M. Senthilvelan, A note on deriving linearizing

transformations for a class of second order nonlinear ordinary differential equations, Nonlinear

Analysis Real World Appli. 39, 202 (2018).

12. K Ponrasu, K Sathiyadevi, V K Chandrasekar, M Lakshmanan, Conjugate coupling-induced

symmetry breaking and quenched oscillations, Europhys. Lett.,124, 20007 (2018).

2018

Total Publication – 408

(From Inception)

h-Index - 43

Sum of Times Cited - 7212

13. K Sathiyadevi, VK Chandrasekar, DV Senthilkumar, M Lakshmanan, Imperfect amplitude

mediated chimera states in a nonlocally coupled network, Frontiers in Applied Mathematics

and Statistics 4, 58 (2018).

14. M. Vijayajayanthi, T. Kanna, K. Murali and M.Lakshmanan, Harnessing energy sharing

collisions of Manakov solitons to implement universal NOR and OR gates, Phys. Rev. E, 97,

060201(R) (2018).

15. M. Sathish Aravindh, A. Venkatesan and M. Lakshmanan, Strange nonchaotic attractor for

computation, Phys. Rev. E, 97, 052212 (2018).

16. M. Lakshmanan and Avadh Saxena, Exact intrinsic localized excitation of an anisotropic

ferromagnetic spin chain in external magnetic field with Gilbert damping, spin current and PT

symmetry, Physics Letters A 382, 1890-1895 (2018).

17. S. Dutta, M. Lakshmanan and S. Chakaraborthy, Non-minimally coupled scalar field in

Kantowski-Sachs model and symmetry analysis, Annals of Physics, 393, 254-263(2018).


interconnections between various analytic approaches in coupled first-order nonlinear

differential equations,Communications in Nonlinear Science and Numerical Simulation, 62,

213-228 (2018).

19. K. Sakkaravarthi, A. G. Johnpillai, A. Durga Devi, T. Kanna and M. Lakshmanan, Lie

symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation, Applied

Mathematics and Computation 331, 457-472(2018).

20. K. Sathyadevi, S. Karthiga, V. K. Chandrasekar, D. V. Senthilkumar and M. Lakshmanan,

Distinct collective states due to trade-off between attractive and repulsive couplings, Phys.

Rev. E97, 032207(12 pages) (2018).

21. S.Kundu, S. Majhi, B. K. Bera, D. Ghosh and M. Lakshmanan, Chimera states in two-

dimensional networks of locally coupled oscillators, Phys. Rev. E97, 022201(12 pages)(2018).

22. R. Gopal, V. K. Chandrasekar, D. V. Senthilkumar, A. Venkatesan and M. Lakshmanan, of an

ensemble of identical nonlinear oscillators, Communications in Nonlinear Science and

Numerical Simulation, 59, 30-46 (2018)

23. S. Sabarathinam, K. Thamilmaran, Controlling of chaos in a tumor growth cancer model: An

experimental study, Electronics Letters (2018).

24. D. Premraj, K. Suresh, Tanmoy Banerjee, K. Thamilmaran, Bifurcation delay in a network of

locally coupled slow-fast systems, Physical Review E, 98, 022206 (2018).

25. P. Megavarna Ezhilarasu, M. Inbavalli, K. Murali, K. Thamilmaran, Strange non-chaotic

attractors in a state controlled-cellular neural network-based quasiperiodically forced MLC

circuit, Pramana, 91, 4 (2018).

26. V. Vaibhav, S. Sabarathinam, A. Prasad, K. Thamilmaran, Infinite number of hidden attractors

in memristor-based autonomous duffing oscillator, International Journal of Bifurcation and

Chaos, 28, 1850013 (2018).

27. J. Palanivel, K. Suresh, D. Premraj, K. Thamilmaran, Effect of fractional-order, time-delay

and noisy parameter on slow-passage phenomenon in a nonlinear oscillator, Chaos, Solitons &

Fractals, 106, 35-43 (2018).


symmetries of a Lienard type nonlinear oscillator, in Symmetries, Differential Equations and

Applications 75-103, Springer, Cham (2018)

29. S. Stalin, M. Senthilvelan and M. Lakshmanan, Nonstandard bilinearization of PT-invariant

nonlocal nonlinear Schrödinger equation: Bright soliton solutions, Phys Letts. A 381 2380,

(2017).

30. S. Karthiga, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Controlling of blow-

up responses by a nonlinear PT symmetric coupling, Phys. Rev. A 95 033829 (2017)

31. K. Premalatha, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Chimera like states in

two distinct groups of identical populations of coupled Stuart-Landau oscillators, Phys. Rev. E

95, 022208 (2017).

32. R. Mohanasubha and M. Senthilvelan, On the symmetries of a nonlinear oscillator, Comm.

Nonlinear Sci. and Num. Sim 43, 111 (2017).

33. S. Karthiga, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Systems that become

PT symmetric through interactions, Phys. Rev. A 94, 023829 (2016).

34. K. Premalatha, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Imperfect

Synchronized states and chimera states in two interacting populations of nonlocally coupled

Stuart-Landau oscillators, Phys. Rev. E, 94, 012311 (2016).

35. S. Karthiga, V. Chithiika Ruby, M.Senthilvelan and M. Lakshmanan, Quantum Solvability of

a general ordered position dependent mass system: Mathews-Lakhsmanan oscillator, J. Math.

Phys. 58, 102110, (2017).

36. P. R. Venkatesh, A. Venkatesan and M. Lakshmanan, Implementation of dynamical dual input

multiple output logic gate via resonance in globally coupled Duffing oscillators, Chaos 27,

083106, (10 pages)(2017).

37. A. Ishaq Ahamed and M. Lakshmanan, Discontinuity induced Hopf and Neimarck - Sacker

bifurcation in a memristive Murali Lakshmanan Chua circuit, Int. J. Bifurcation and Choas,

27, 1730021 (21 pages), (2017).

38. K. Sathiyadevi, S. Karthiga, V. K. Chandrasekar, D. V. Senthilkumar and M. Lakshmanan,

Spontaneous symmetry breaking due to the trade-off between attractive and repulsive

couplings , Phys. Rev. E 95, 042301 (2017).

39. P. R. Venkatesh, A. Venkatesh and M. Lakshmanan, Design and Implementation of dynamic

logic gates and R-S flip-flop using quasiperiodically driven Murali-Lakshmanan-Chua circuit,

Chaos, 27, 033105 (10 pages), (2017).

2017

40. A. Durga Devi, R. Gladwin Pradeep, V. K. Chandrasekar and M. Lakshmanan, Two

dimensional isochronous nonstandard Hamiltonian systems, Journal of Engineering

Mathematics 104, 63-75(2017).

41. S. Leo Kingston, K. Thamilmaran, Pinaki Pal, Ulrike Feudel, Syamal K Dana, Extreme events

in the forced Liénard system, Physical Review E, 96, 052204 (2017).

42. K. Suresh, J. Palanivel, K. Thamilmaran , Successive torus doubling and birth of strange non-

chaotic attractors in non-linear electronic circuit, Electronics Letters, 53, 1464 (2017).

43. S. Leo Kingston, K. Thamilmaran, Bursting Oscillations and Mixed-Mode Oscillations in

Driven Liénard System, International Journal of Bifurcation and Chaos, 27, 1730025 (2017).

44. R. Rocha, R. Jothimurugan, K. Thamilmaran, Memristive oscillator based on Chua’s circuit:

stability analysis and hidden dynamics, Nonlinear Dynamics, 88, 2577 (2017).

45. D. Premraj, K. Suresh, J. Palanivel, K. Thamilmaran, Dynamic bifurcation and strange

nonchaos in a two-frequency parametrically driven nonlinear oscillator, Communications in

Nonlinear Science and Numerical Simulation, 50, 103 (2017).

46. D. Premraj, K. Suresh, Tanmoy Banerjee, K. Thamilmaran, Control ofbifurcation-delay of

slow passage effect by delayed self-feedback, Chaos 26, 083104 (2017).

47. J. Palanivel, K. Suresh, S. Sabarathinam, K. Thamilmaran, Chaos in a low dimensional

fractional order nonautonomous nonlinear oscillator,Chaos, Solitons & Fractals 95, 33 (2017).

48. S. Sabarathinam, K. Thamilmaran, Implementation of analog circuit and study of chaotic

dynamics in a generalized Duffing-type MEMS resonator, Nonlinear Dynamics, 87, 2345

(2017).

49. S. Sabarathinam, Christos K Volos, K. Thamilmaran, Implementation and study of the

nonlinear dynamics of a memristor-based Duffing oscillator, Nonlinear Dynamics, 87, 37

(2017).

50. K. Manikandan and M. Senthilvelan, An analysis of spatiotemporal localized solutions in the

variable coefficients (3+1)-dimensional nonlinear Schrödinger equation with six different

forms of different dispersion parameters, Chaos 26, 073116 (2016).

51. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Interplay of

symmetries and other integrability quantifiers in finite dimensional integrable nonlinear

dynamical systems, Proc. R. Soc. A 472, 20150847 (2016).

52. N. Ananth and M. Senthilvelan, Identifying non-k-separability of a class of N-qubit complete

graph states using correlation tensors, Eur. Phys. J. D 70, 149 (2016).

53. K. Manikandan, M. Senthilvelan and R. A. Kraenkel, On the characterization of vector rogue

waves in two-dimensional two coupled nonlinear Schrödinger equations with distributed

coefficients, Eur. Phys. J. B, 89, 218 (2016).

54. K. Premalatha, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Different kinds of

chimera death states in nonlocally coupled oscillators, Phys. Rev. E 93, 052213 (2016).

2016

https://scholar.google.co.in/scholar?oi=bibs&cluster=14170695521537819303&btnI=1&hl=enhttps://scholar.google.co.in/scholar?oi=bibs&cluster=14170695521537819303&btnI=1&hl=en

55. Ajey K. Tiwari, S. N. Pandey,V. K. Chandrasekar, M. Senthilvelanand M. Lakshmanan, The

inverse problem of a mixed Li\'enard type nonlinear oscillator equation from symmetry

perspective, Acta Mechanica 227, 2039 (2016).

56. K. Manikandan, P. Muruganandam, M. Senthilvelan and M. Lakshmanan, Manipulating

localized matter waves in multi-component Bose-Einstein condensates, Phys. Rev. E 93,

032212 (2016).

57. N. Vishnu Priya and M. Senthilvelan, N- bright - bright and N- dark – dark solitons of the

coupled generalized nonlinear Schrödinger equations, Comm. Nonlinear Sci. and Num. Sim.,

36, 366-377 (2016).

58. K. Manikandan, M. Senthilvelan and R. A. Kraenkel, Amplification of matter rogue waves

and breathers in quasi-two-dimensional Bose-Einstein condensates, Eur. Phys. J. B, 89, 30

(2016)

59. N. Ananth and M. Senthilvelan, On the non-k-separability of Dicke class of states and N-qudit

W states, Int. J. Theor. Phys 55, 1854-1870 (2016)

60. S.Karthiga, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Twofold-PT symmetry

in nonlinearly damped dynamical systems and tailoring PT regions with position dependent

loss-gain profiles, Phys. Rev. A 93, 012102 (2016).

61. R. Gladwin Pradeep, V. K. Chandrasekar, R. Mohanasubha, M. Senthilvelan and M.

Lakshmanan, Order preserving contact transformations and dynamical symmetries of scalar

and coupled Riccati and Abel chains, Communications in Nonlinear Science and Numerical

Simulation 36, 303 (2016)

62. R. Suresh, D. V. Senthilkumar, M.Lakshmanan and J. Kurths, Emergence of a common

generalized synchronization manifold in network motifs of structurally different time-delay

systems,Chaos, Solitons and Fractals, 93, 235-245 (2016).

63. Debaldev Jana, R.Gopal and M. Lakshmanan, Complex dynamics generated by negative and

positive feedback delays of a prey-predator system with prey refuge: Hopf bifurcation to

Chaos, International Journal of Dynamics and Control, 5,1-15 (2016).

64. S. Dutta, M. Lakshmanan and S. Chakraborty, Quintom cosmological model and some

possible solutions using Lie and Noether symmetries, Int. Journal of Modern Physics D15,

1650110 (2016)(17pages).

65. V. K. Chandrasekar, R. Gopal, D. V.Senthilkumar and M. Lakshmanan, Phase-flip chimera

induced by environmental non-local coupling, Phys. Rev. E, 94, 012208 (2016).

66. M. Vijayajayanthi, T. Kanna, M. Lakshmanan, and K. Murali and M. Lakshmanan, Explicit

construction of single input-single output logic gates from three soliton solution of Manakov

system, Communications in Nonlinear Science and Numerical Simulation 36,391 (2016).

67. K. Srinivasan, V.K Chandrasekar , R. Gladwin Pradeep, K. Murali and M. Lakshmanan,

Different Types of Synchronization in Coupled Network Based Chaotic Circuits,

Communications in Nonlinear Science and Numerical Simulation 39,156, (2016).

68. P. R. Venkatesh, A. Venkatesan and M. Lakshmanan, Analytical treatment for synchronizing

chaos through Unidirectional coupling and Implementation of logic gates, Pramana 86,1195,

(2016).

69. K. Suresh, S. Sabarathinam, K. Thamilmaran, Jürgen Kurths, Syamal K. Dana, A common lag

scenario in quenching of oscillation in coupled oscillators, Chaos 26, 083104 (2016).

70. D. V. Senthilkumar, K. Suresh, V. K. Chandrasekar, Wei Zou, Syamal K. Dana, K.

Thamilmaran , Jürgen Kurths, Experimental demonstration of revival of oscillations from

death in coupled nonlinear oscillators, Chaos 26, 043112 (2016).

71. P. R. Sharma, N. K. Kamal, U. K. Verma, K. Suresh, K. Thamilmaran, M D Shrimali,

Suppression and revival of oscillation in indirectly coupled limit cycle oscillators, Physics

Letters A 380, 3178 (2016).

72. A. Jeevarekha, S. Sabarathinam, K. Thamilmaran, P. Philominathan, Analysis of 4D

autonomous system with volume-expanding phase space, Nonlinear Dynamics 84, 2273

(2016).

73. R. Jothimurugan, K. Thamilmaran, S. Rajasekar, MAF Sanjuán, Multiple resonance and anti-

resonance in coupled Duffing oscillators, Nonlinear Dynamics 83, 1803 (2016).

74. D. Premraj, K. Suresh, Tanmoy Banerjee, K. Thamilmaran, An experimental study of slow

passage through Hopf and pitchfork bifurcations in a parametrically driven nonlinear

oscillator, Communications in Nonlinear Science and Numerical Simulation, 37, 212 (2016).

75. Ajey K. Tiwari, S. N. Pandey, M. Senthilvelan and M. Lakshmanan, Lie point symmetries

classification of the mixed Lienard type equation, Nonlinear Dynamics 82, 1953 (2015)

76. K. Premalatha, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Impact of symmetry

breaking in networks of globally coupled oscillators, Phys. Rev. E 91, 052915 (2015).

77. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Interconnections

between various analytic approachs applicable to third order nonlinear differential equations,

Proc. Roy. Soc. Lond. Series 471: 20140720 (2015)

78. N. Ananth, V. K. Chandrasekar and M. Senthilvelan, On the separability condition for

bipartite states with certain non-Hermitian operators, Int. J. Theor. Phys. 54, 2632 (2015).

79. N. Ananth, V. K. Chandrasekar and M. Senthilvelan, Criteria for non-k-separability in n-

partite quantum states, Eur. Phys. J. D 69, 56 (2015).

80. V. Chithiika Ruby, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Removal of

ordering ambiguity for a class of position dependent mass quantum systems with an

application to the quadratic Lienard type nonlinear oscillators, J. Math. Phys. 56, 012103

(2015)

81. N. Vishnu Priya and M.Senthilvelan, On the characterization of breather and rogue wave

solutions and modulation instability of a coupled generalized nonlinear Schrödinger equations,

Wave Motion 54 125 (2015)

82. N. Vishnu Priya and M.Senthilvelan, Generalized Darboux Transformations and N-th order

rogue wave solutions of general coupled nonlinear Schrödinger equations, Comm. Nonlinear

Sci. and Num. Sim., 20, 401-420 (2015).

2015

83. N. Vishnu Priya, M.Senthilvelan and M. Lakshmanan, Breathers and rogue waves:

Demonstration with coupled nonlinear Schrödinger family of equations Pramana 84, 339

(2015)

84. M. Senthilvelan, V. K. Chandrasekar and R. Mohanasubha, Symmetries of ordinary

differential equations: the modified Emden equation as study case, Pramana 85, 755 (2015).

85. Bidesh K. Bera, Dibakar Ghosh, M. Lakshmanan, Chimera states in bursting neurons, Phys.

Rev E 93, 012205 (2015).

86. V. K. Chandrasekar, R. Suresh D.V. Senthilkumar and M. Lakshmanan, Emergence of

coexisting coherence and incoherence by an external forcing, Euro.Phys Letters111 6008

(2015).

87. R. Myrzakulov, G.K. Mamyrbekova, G.N. Nugmanova and M. Lakshmanan, Integrable (2+1)-

dimensional spin models with self consistent potentials, Symmetry 7(3), 1352-75 (2015)

88. R. Gopal, V. K. Chandrasekar, D. V. Senthilkumar, A. Venkatesan, and M. Lakshmanan,

Effect of asymmetry parameter on the dynamical states of nonlocally coupled nonlinear

oscillators, Phys. Rev. E 91,062916 (2015).

89. V. K. Chandrasekar, S. Karthika and M. Lakshmanan, Feedback as a mechanism for the

resurrection of oscillations from death state, Phys. Rev. E 92,012903 (2015).

90. B. Subash, V. K. Chandrasekar, M. Lakshmanan, Nonlinear Dynamics of Spin Transfer Nano

Oscillators, Pramana 84, 473 (2015).

91. T. Kanna, K. Sakkaravarthi, M. Vijayajayanthi and M. Lakshmanan, Dynamics of solitons in

multicomponent long waveshort wave resonance interaction system, Pramana 84, 327 (2015).

92. Ajey K. Tiwari, S. N. Pandey, V. K. Chandrasekar and M. Lakshmanan, Factorization

technique and isochronous condition for coupled quadratic and mixed Liénard-type nonlinear

systems, Applied Mathematics and Computation, 252, 457-472 (2015).

93. B. Subash, V. K. Chandrasekar, M. Lakshmanan, Enhanced synchronization in an array of

spin torque nano oscillators in the presence of oscillating external magnetic field, Europhys.

Lett 109, 17009 (2015).

94. A. Arulgnanam, A. Prasad, K. Thamilmaran, M. Daniel, Multilayered bubbling route to SNA

in a quasiperiodically forced electronic circuit with experimental and analytical confirmation,

Chaos, Solitons & Fractals, 75, 96 (2015).

95. R. Jothimurugan, K. Thamilmaran,S. Rajasekar and M. A. F. Sanjuán, Multiple resonance and

anti-resonance in coupled Duffing oscillators, Nonlinear Dynamics 83, 1803 (2015).

96. A. Arulgnanam, K. Thamilmaran, M. Daniel, A Rich Spectrum of Dynamical Phenomenon in

a Forced Parallel LCR Circuit with a Simple Nonlinear Element, Chinese Journal of Physics

53, 22 (2015).

97. S. Sabarathinam, K. Thamilmaran, Transient chaos in a globally coupled system of nearly

conservative Hamiltonian Duffing oscillators, Chaos, Solitons & Fractals, 73, 129 (2015).

98. A. Arulgnanam, A. Prasad, K. Thamilmaran, M. Daniel, Multilayered bubbling route to SNA

in a quasiperiodically forced electronic circuit with a simple nonlinear element, International

Journal of Dynamics and Control, 1 (2015).

99. D. Giridharan, P. Sabareesan and M. Daniel, Current induced magnetization dynamic in one

dimensional magnonic crystal, IEEE Transaction on Magnetics, 51, 1301007 (2015).

100. D. Aravinthan, P. Sabareesan and M. Daniel, Current induced magnetization switching in

Co/Cu/Ni-Fe nanopillar with orange peel coupling, AIP Advances, 5, 077166 (2015).

101. R. Arun, P. Sabareesan and M. Daniel, Impact of current on static and kinetic depinning fields

of domain wall in ferromagnetic nanostrip, Pramana-Journal of Physics, 85, 947 (2015).

102. K. Manikandan, P.Muruganandam, M.Senthilvelan and M. Lakshmanan, Manipulating matter-

rogue waves and breathers in Bose-Einstein condensates Phys. Rev. E 90, 062905 (2014)

103. N. Vishnu Priya and M.Senthilvelan, Higher order rogue wave solutions of general coupled

nonlinear Schrödinger equations, Physica Scripta . 90 025203 (2014)

104. V. Chithiika Ruby and M.Senthilvelan, Photon modulated coherent states of a generalized

isotonic oscillator by Weyl ordering and their non-classical properties, Int. J. Theor. Phys. 53

4338-4350 (2014).

105. N. Vishnu Priya, M.Senthilvelan and M. Lakshmanan, Dark solitons, Breathers and Rogue

Wave Solutions of the Coupled Generalized Nonlinear Schrödinger Equations, Phys. Rev. E

89 062901 (2014).

106. P. R. Gordoa, A. Pickering and M. Senthilvelan, The Prelle-Singer method and Painleve

hierarchies, J. Math. Phys., 54 053510 (2014)

107. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Interplay of

symmetries, null forms, Darboux polynomials, integrating factors and Jacobi multipliers in

integrable second order differential equations, Proc. Roy. Soc. Lond.. Series A 470, 20130656

(2014).

108. V. Chithiika Ruby, P.Muruganandam and M.Senthilvelan, Nonlinear time evolution of

coherent states with observation of super revivals in a generalized isotonic oscillator, Int. J.

Geometric Meth. Mod. Phys. 11 1450027 (2014).

109. R. Mohanasubha, M.I. Sabiya Shakila and M. Senthilvelan, On the linearization of

isochronous centre of a modified Emden equation with linear external forcing,

Communications in Nonlinear Science and Numerical Simulation 19 799-806 (2014)

110. V. K. Chandrasekar, R.Gopal, A. Venkatesan and M. Lakshmanan, Mechanism for intensity

induced chimera states in globally coupled oscillators Phys.Rev. E 90, 062913 (2014).

111. K. Sakkaravarthi, T. Kanna, M. Vijayajayanthi and M. Lakshmanan Multicomponent long-

wave short-wave resonance interaction system: Bright solitons, energy sharing collisions and

resonant solitons, Phys. Rev . E 90, 052912 (2014)

112. T. Kanna, M. Vijayajayanthi, and M. Lakshmanan, Mixed solitons in (2 + 1) dimensional

multicomponent long wave-short wave system, Phys. Rev. E 90, 042901 (2014).

2014

113. S. Balakrishnan and M. Lakshmanan, Chaining property for two-qubit operator entanglement

measures, The European Physical Journal Plus 129, 231 (2014).

114. R. Myrzakulov, G.K. Mamyrbekova, G.N. Nugmanova and M. Lakshmanan, Integrable

motion of curves in self-consistent potentials: Relation to spin systems and soliton

equationsIntegrable (2+1)-dimensional spin models with self consistent potentials, Physics

Letters A 378, 2118 (2014)

115. R. Gopal, V. K. Chandrasekar, A. Venkatesan and M. Lakshmanan, Observation and

characterization of chimera states in coupled dynamical systems with nonlocal coupling, Phys.

Rev. E 89, 052914 (2014) .

116. R. Suresh, K. Srinivasan, D. V. Senthilkumar, K.Murali, M. Lakshmanan and J. Kurths,

Dynamic environment coupling induced synchronized states in coupled time-delayed

electronic circuits Int. J. Bifurcation Chaos 24, 1450067 (2014).

117. M. Lakshmanan, B. Subash, and Avadh Saxena, Intrinsic Localized Models of a Discrete

Anisotropic Heisenberg Ferromagetic Spin Chain, Physics Letters A, 378, 1119-1125 (2014)

118. P. S. Swathy, K. Thamilmaran, Hyperchaos in SC-CNN based modified canonical Chua’s

circuit, Nonlinear Dynamics, 78, 2639 (2014).

119. P. S. Swathy, S. Sabarathinam, K. Suresh, K. Thamilmaran, Chaos synchronization and

transmission of information in coupled SC-CNN-based canonical Chua’s circuit, Nonlinear

Dynamics, 78, 1033 (2014).

120. K. Suresh, MD. Shrimali, A. Prasad, K. Thamilmaran, Experimental evidence for amplitude

death induced by a time-varying interaction, Physics Letters A, 378, 2845 (2014).

121. R. Jothimurugan, K. Suresh, P. Megavarna Ezhilarasu and K. Thamilmaran, Improved

realization of Canonical Chua’s Circuit using current feedback operational amplifier, AEU-

International Journal of Electronics and Communications, 68, 413 (2014).

122. A. Sharma, K. Suresh, K. Thamilmaran, A. Prasad, MD. Shrimali, Effect of parameter

mismatch and time delay interaction on density-induced amplitude death in coupled nonlinear

oscillators, Nonlinear Dynamics, 76, 1797 (2014.)

123. P. S. Swathy. K. Thamilmaran, (2014), SC-CNN based variant MLC circuit: Anexperimental

study, International Journal of Bifurcation and Chaos, 24, 1430008 (2014).

124. R. Mohanasubha, J.H.Sheeba, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, A

nonlocal connection between certain linear and nonlinear ordinary differential equations - Part

II: Complex nonlinear oscillators, Applied Mathematics and Computation 224 593-602 (2013)

125. N. Vishnu Priya, M.Senthilvelan and M. Lakshmanan, Akhmediev breathers, Ma solitons and

general breathers from rogue waves: A case study in Manakov system, Phys. Rev. E 88

022918 (2013)

126. Ajey K. Tiwari, S. N. Pandey,M. Senthilvelan and M. Lakshmanan, Classification of Lie point

symmetries for quadratic Lienard type equation �̈�+f(𝑥)�̇�2+g(𝑥) = 0, J. Math. Phys., 54,

053506 (2013); Erratum J. Math. Phys., 55, 059901 (2014)

127. R. A. Kraenkel, K. Manikandan and M. Senthilvelan, On certain new exact solutions of a

diffusive Predator-Prey system, Comm. Nonlinear Sci. and Num. Sim., 18, 1269 (2013)

128. V. Chithiika Ruby, S. Karthiga and M.Senthilvelan, Ladder operators and squeezed coherent

states of a 3-dimensional generalized isotonic nonlinear oscillator, J. Phys. A: Math. Theor.

46, 025305 (2013)

129. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, On certain

analytical methods in finding integrable systems and their interconnections in Nonlinear

Dynamics and its Applications (Ed.) Swapan Kr.Ghosh (Book Centre, Santiniketan, 2013) p.

93-106.

130. B. Subash, V. K. Chandrasekar, Jane. H. Sheeba, M. Lakshmanan and J. Kurths, Adaptive

coupling induced multi-stable states in complex networks, Physica D 267, 36-48 (2013).

131. D. V. Senthilkumar, R. Suresh, M. Lakshmanan and J. Kurths, Global generalized

synchronization in networks of different time-delay systems, Europhys. Lett.103, 50010

(2013).

132. B. Subash, V. K. Chandrasekar and M. Lakshmanan, Synchronization of an array of spin

torque nano oscillators in periodic applied external magnetic field, Europhys. Lett. 102, 17010

(2013).

133. R.Gopal, A.Venkatesan, and M.Lakshmanan, Applicability of 0-1 test for Strange Nonchaotic

Attractors, Chaos 23, 023123 (2013).

134. M. Lakshmanan and V.K. Chandrasekar, Generating finite dimensional nonlinear dynamical

systems, Eur. Phys. J. Special Topics 222, 665 (2013).

135. Ishaq Ahmed and M. Lakshmanan, Nonsmooth bifurcations, Transient Hyperchaos and

hyperchaotic beats in a Memristive Murali-Lakshmanan-Chua Circuit, Int. J Bifurcation

Chaos23, 1350098 (2013).

136. A. Durga Devi, R. Gladwin Pradeep, V. K. Chandrasekar and M. Lakshmanan, Method of

generating N -dimensional isochronous Hamiltonian systems free of instabilities, J. Nonlinear.

Math. Phys 20, 78, (2013)

137. R. Suresh, K. Srinivasan, D. V. Senthilkumar, I. Raja Mohammed, K. Murali, M. Lakshmanan

and J. Kurths, Zero-lag synchronization in coupled time-delayed piecewise linear electronic

circuits, Eur. phys. J. Special Topics 222, 729 (2013).

138. S. Sabarathinam, K. Thamilmaran, L. Borkowski, P. Perlikowski, A. Stefanski and T.

Kapitaniak, Experimental observation of two types of transient chaos in two coupled,

dissipatively perturbed Hamiltonian Duffing oscillators, Communication in nonlinear science

and numerical simulation, 18, 3098 (2013).

139. S. Zdravkovic, M.V. Sataric and M. Daniel, Kink solitons in DNA, Int. J. Mod. Phys. B, 27,

1350184 (2013).

2013

1. Symmetries, Differential Equations and Applications: On the Symmetries of a Linard Type

Nonlinear Oscillator Equation, R Mohanasubha, V. K. Chandrasekar, M Senthilvelan,

M Lakshmanan, 75-103, Springer, Cham (2018). ISBN 978-3-030-01376-9.

2. Matter wave solitons and other localized excitations in Bose-Einstein condensates in atom

optics in Odyssey of Light in Nonlinear Optical Fibers: Theory and Applications, P.

Muruganandam and M. Lakshmanan, Edited by K. Porsezian and R. Ganapathy, CRC Press)

(2015). ISBN 9781138749580

3. Synchronization in coupled nonlinear oscillators: Relevance to neuronal dynamics, Jane H.

Sheeba, V. K. Chandrasekar and M . Lakshmanan, to appear in “Concepts and Methods in

Modern Theoretical Chemistry Volume II Statistical Mechanics”, Taylor and Francis (2013)

ISBN : 9781466506213

4. Nonlinear Dynamics of a Class of Piecewise Linear Systems, M. Lakshmanan and K. Murali,

to appear in “Chaos, CNN, Memristors and Beyond”, World Scientific, (285-306), (2013)

ISBN: 978-981-4434-79-9

5. Dynamics of Nonlinear Time Delay Systems, M. Lakshmanan and D.V. Senthilkumar,

Springer-Verlag (2011) (Series in Synergetics). ISBN: 978-3-642-14938-2

6. Nonlinear Dynamics, M. Daniel and S. Rajasekar, Narosa, New Delhi, (2008) ISBN: 978-81-

7319-941-7.

7. National Conference on Nonlinear Systems and Dynamics-2006 (Proceedings), M.

Lakshmanan and R. Sahadevan (Ed.), Allied Publishers, Chennai (2006) ISBN:81-7764-993-0

8. Nonlinear Dynamics: Integrability, Chaos and Spatio-temporal Patterns, M. Lakshmanan and

S. Rajasekar, Springer-Verlag (Advanced Texts in Physics) (2003). ISBN: 978-3-642-55688-3

9. Nonlinear Systems, R. Sahadevan and M. Lakshmanan (Ed.), Narosa Publishing House, New

Delhi (2002) ISBN: 978-81-7319-456-6.

10. Nonlinear Dynamics: Integrability and Chaos, M. Daniel, K.M. Tamizhmani and R.

Sahadevan (Eds.), Narosa, New Delhi (1999) ISBN: 978-81-7319-326-2.

11. Solitons in Science and Engineering: Theory and Applications, M. Lakshmanan (Ed.) Special

Issue of the Journal “Chaos, Solitons & Fractals” - Pergamon Vol.5, No. 12 pp. 2213-2639

(1995)

12. Chaos in Nonlinear Oscillators: Controlling and Synchronization, M. Lakshmanan and K.

Murali, World Scientific Series on Nonlinear Science, Vol. 13 (World Scientific Singapore

1996) ISBN: 978-981-02-2143-0.

13. Symmetries and Singularity Structures: Integrability and Chaos in Nonlinear Dynamical

Systems, M. Lakshmanan and M.Daniel (Eds.) Springer-Verlag, Berlin (1990) ISBN: 978-

3540530923.

14. Nonlinear Evolution Equations: Integrability and spectral Methods, A. Degasperies, A. P.

Fordy and M. Lakshmanan (Eds.) Proceedings in Nonlinear Science, Manchester University

Press Manchester (1990) ISBN: 978-0719032738.

15. Solitons: Introduction and Applications, M. Lakshmanan (Ed.) Springer series in Nonlinear

Dynamics, Springer-Verlag, Berlin (1988) ISBN: 978-3-642-73193-8.

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