philip holmes - google scholar citations · chaos and fractals: the mathematics behind the computer...
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Philip HolmesProfessor of Applied & ComputationalMathematics, Princeton UniversityApplied Mathematics, Solid, Fluid andClassical Mechanics, Biomechanics,Neuroscience
Google ScholarCitation indices All Since 2009Citations 36634 11489h-index 68 40i10-index 220 123
Title Cited by Year
Nonlinear oscillations, dynamical systems, and bifurcations ofvector fieldsJ Guckenheimer, P HolmesNew York
15739 1983
Turbulence, coherent structures, dynamical systems andsymmetryP Holmes, JL Lumley, G BerkoozCambridge university press
2488 1998
The proper orthogonal decomposition in the analysis of turbulentflowsG Berkooz, P Holmes, JL LumleyAnnual review of fluid mechanics 25 (1), 539-575
1565 1993
The dynamics of coherent structures in the wall region of aturbulent boundary layerN Aubry, P Holmes, JL Lumley, E StoneJournal of Fluid Mechanics 192, 115-173
988 1988
A periodically forced piecewise linear oscillatorSW Shaw, PJ HolmesJournal of Sound and Vibration 90 (1), 129-155
732 1983
A nonlinear oscillator with a strange attractorP HolmesPhilosophical Transactions of the Royal Society of London. Series A ...
687 1979
The physics of optimal decision making: a formal analysis ofmodels of performance in two-alternative forced-choice tasks.R Bogacz, E Brown, J Moehlis, P Holmes, JD CohenPsychological review 113 (4), 700
560 2006
The nature of the coupling between segmental oscillators of thelamprey spinal generator for locomotion: a mathematical modelAH Cohen, PJ Holmes, RH RandJournal of mathematical biology 13 (3), 345-369
463 1982
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Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
1 of 21 9/20/14 3:07 PM
Title Cited by Year
A magnetoelastic strange attractorFC Moon, PJ HolmesJournal of Sound and Vibration 65 (2), 275-296
437 1979
The dynamics of repeated impacts with a sinusoidally vibratingtablePJ HolmesJournal of Sound and Vibration 84 (2), 173-189
381 1982
The dynamics of legged locomotion: Models, analyses, andchallengesP Holmes, RJ Full, D Koditschek, J GuckenheimerSiam Review 48 (2), 207-304
295 2006
Heteroclinic cycles and modulated travelling waves in systemswith O (2) symmetryD Armbruster, J Guckenheimer, P HolmesPhysica D: Nonlinear Phenomena 29 (3), 257-282
295 1988
On the phase reduction and response dynamics of neuraloscillator populationsE Brown, J Moehlis, P HolmesNeural computation 16 (4), 673-715
277 2004
A partial differential equation with infinitely many periodic orbits:chaotic oscillations of a forced beamP Holmes, J MarsdenArchive for Rational Mechanics and Analysis 76 (2), 135-165
271 1981
Melnikov’s method and Arnold diffusion for perturbations ofintegrable Hamiltonian systemsPJ Holmes, JE MarsdenJournal of Mathematical Physics 23 (4), 669-675
233 1982
Horseshoes and Arnold diffusion for Hamiltonian systems on LiegroupsPJ Holmes, JE MarsdenCALIFORNIA UNIV BERKELEY CENTER FOR PURE AND APPLIEDMATHEMATICS
229 1981
Celestial encounters: the origins of chaos and stabilityF Diacu, P HolmesPrinceton University Press
221 1996
Horseshoes in perturbations of Hamiltonian systems with two219 1982
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
2 of 21 9/20/14 3:07 PM
Title Cited by Year
degrees of freedomPJ Holmes, JE MarsdenCommunications in Mathematical Physics 82 (4), 523-544
Structurally stable heteroclinic cyclesJ Guckenheimer, P HolmesMathematical Proceedings of the Cambridge Philosophical Society 103 (01 ...
218 1988
Bifurcation of periodic motions in two weakly coupled van der PoloscillatorsRH Rand, PJ HolmesInternational Journal of Non-Linear Mechanics 15 (4), 387-399
208 1980
Bifurcations to divergence and flutter in flow-induced oscillations: afinite dimensional analysisPJ HolmesJournal of Sound and Vibration 53 (4), 471-503
207 1977
Mechanical models for insect locomotion: dynamics and stability inthe horizontal plane I. TheoryJ Schmitt, P HolmesBiological cybernetics 83 (6), 501-515
172 2000
Strange attractors and chaos in nonlinear mechanicsPJ Holmes, FC MoonJournal of Applied Mechanics 50 (4b), 1021-1032
172 1983
Averaging and chaotic motions in forced oscillationsPJ HolmesSIAM Journal on Applied Mathematics 38 (1), 65-80
167 1980
Exponentially small splittings of separatrices with applications toKAM theory and degenerate bifurcationsP Holmes, J Marsden, J ScheurleAmerican Mathematical Society
163 1988
Systems of coupled oscillators as models of central patterngeneratorsRH Rand, AH Cohen, PJ HolmesNeural control of rhythmic movements in vertebrates, 333-367
158 1988
Kuramoto-Sivashinsky dynamics on the center-unstable manifoldD Armbruster, J Guckenheimer, P HolmesSIAM Journal on Applied Mathematics 49 (3), 676-691
157 1989
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
3 of 21 9/20/14 3:07 PM
Title Cited by Year
Knots and links in three-dimensional flowsRW Ghrist, PJ Holmes, MC SullivanBooks, Monographs and Lecture Notes, 1
146 1997
Low-dimensional models of coherent structures in turbulencePJ Holmes, JL Lumley, G Berkooz, JC Mattingly, RW WittenbergPhysics Reports 287 (4), 337-384
144 1997
Periodically forced linear oscillator with impacts: chaos andlong-period motionsSW Shaw, P HolmesPhysical Review Letters 51 (8), 623
143 1983
Quantifying dynamic stability and maneuverability in leggedlocomotionRJ Full, T Kubow, J Schmitt, P Holmes, D KoditschekIntegrative and comparative biology 42 (1), 149-157
141 2002
Bifurcation to divergence and flutter in flow-induced oscillations: aninfinite dimensional analysisP Holmes, J MarsdenAutomatica 14 (4), 367-384
139 1978
A periodically forced impact oscillator with large dissipationSW Shaw, PJ HolmesJournal of Applied Mechanics 50 (4a), 849-857
131 1983
Phase portraits and bifurcations of the non-linear oscillator: ẍ+(α+γx2+ βx+ δx3= 0P Holmes, D RandInternational Journal of Non-Linear Mechanics 15 (6), 449-458
129 1980
On the dynamics of fine structureJM Ball, PJ Holmes, RD James, RL Pego, PJ SwartJournal of Nonlinear Science 1 (1), 17-70
125 1991
Random perturbations of heteroclinic attractorsE Stone, P HolmesSIAM Journal on Applied Mathematics 50 (3), 726-743
125 1990
The bifurcations of Duffing's equation: An application ofcatastrophe theoryPJ Holmes, DA RandJournal of Sound and Vibration 44 (2), 237-253
124 1976
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
4 of 21 9/20/14 3:07 PM
Title Cited by Year
Hamiltonian dynamics of dispersion-managed breathersJN Kutz, P Holmes, SG Evangelides, JP GordonJOSA B 15 (1), 87-96
123 1998
A simply stabilized running modelRM Ghigliazza, R Altendorfer, P Holmes, D KoditschekSIAM Journal on Applied Dynamical Systems 2 (2), 187-218
121 2003
Chaos and fractals: The mathematics behind the computergraphicsRL DevaneyAmerican Mathematical Soc.
118 1989
Cascades of homoclinic orbits to, and chaos near, a Hamiltoniansaddle-centerA Mielke, P Holmes, O O'ReillyJournal of Dynamics and Differential Equations 4 (1), 95-126
117 1992
Knotted periodic orbits in suspensions of Smale's horseshoe: torusknots and bifurcation sequencesP Holmes, RF WilliamsArchive for Rational Mechanics and Analysis 90 (2), 115-194
114 1985
Poincaré, celestial mechanics, dynamical-systems theory and“chaos”P HolmesPhysics Reports 193 (3), 137-163
113 1990
Pipes supported at both ends cannot flutterPJ HolmesJournal of Applied Mechanics 45 (3), 619-622
113 1978
Low-dimensional modelling of turbulence using the properorthogonal decomposition: a tutorialTR Smith, J Moehlis, P HolmesNonlinear Dynamics 41 (1-3), 275-307
111 2005
Spatially complex equilibria of buckled rodsA Mielke, P HolmesArchive for rational Mechanics and Analysis 101 (4), 319-348
110 1988
Bifurcations of one-and two-dimensional mapsP Holmes, D WhitleyPhilosophical Transactions of the Royal Society of London. Series A ...
109 1984
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
5 of 21 9/20/14 3:07 PM
Title Cited by Year
Second order averaging and bifurcations to subharmonics inDuffing's equationC Holmes, P HolmesJournal of Sound and Vibration 78 (2), 161-174
108 1981
Homoclinic orbits, subharmonics and global bifurcations in forcedoscillationsBD Greenspan, PJ HolmesCALIFORNIA UNIV BERKELEY CENTER FOR PURE AND APPLIEDMATHEMATICS
106 1981
Dynamics and stability of legged locomotion in the horizontalplane: a test case using insectsJ Schmitt, M Garcia, RC Razo, P Holmes, RJ FullBiological cybernetics 86 (5), 343-353
103 2002
Mechanical models for insect locomotion: dynamics and stability inthe horizontal plane–II. ApplicationJ Schmitt, P HolmesBiological cybernetics 83 (6), 517-527
100 2000
Bifurcations of the forced van der Pol oscillatorPJ Holmes, DA RandQuarterly of Applied Mathematics 35, 495-509
96 1978
Regularity, approximation and asymptotic dynamics for ageneralized Ginzburg-Landau equationJ Duan, ES Titi, P HolmesNonlinearity 6 (6), 915
95 1993
Simple neural networks that optimize decisionsE Brown, J Gao, P Holmes, R Bogacz, M Gilzenrat, JD CohenInternational Journal of Bifurcation and Chaos 15 (03), 803-826
93 2005
Turbulence, coherent structures, dynamical systems andsymmetryP HolmesCambridge University Press
91 2012
Center manifolds, normal forms and bifurcations of vector fieldswith application to coupling between periodic and steady motionsPJ HolmesPhysica D: Nonlinear Phenomena 2 (3), 449-481
91 1981
Rapid decision threshold modulation by reward rate in a neural90 2006
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
6 of 21 9/20/14 3:07 PM
Title Cited by Year
networkP Simen, JD Cohen, P HolmesNeural networks 19 (8), 1013-1026
The dynamics of choice among multiple alternativesT McMillen, P HolmesJournal of Mathematical Psychology 50 (1), 30-57
89 2006
Repeated resonance and homoclinic bifurcation in a periodicallyforced family of oscillatorsB Greenspan, P HolmesSIAM journal on mathematical analysis 15 (1), 69-97
86 1984
Homoclinic orbits in slowly varying oscillatorsS Wiggins, P HolmesSIAM journal on mathematical analysis 18 (3), 612-629
82 1987
Origin of oscillations in visual cortex: feedback versus localcouplingDM Kammen, PJ Holmes, C KochModels of Brain Functions, 273-284
81 1989
Constrained euler bucklingG Domokos, P Holmes, B RoyceJournal of Nonlinear Science 7 (3), 281-314
74 1997
Energy minimization and the formation of microstructure indynamic anti-plane shearPJ Swart, PJ HolmesArchive for rational mechanics and analysis 121 (1), 37-85
74 1992
Stability analysis of legged locomotion models by symmetry-factored return mapsR Altendorfer, DE Koditschek, P HolmesThe International Journal of Robotics Research 23 (10-11), 979-999
71 2004
Chaotic motions in a weakly nonlinear model for surface wavesP HolmesJournal of Fluid Mechanics 162, 365-388
71 1986
Dynamics and stability of insect locomotion: a hexapedal model forhorizontal plane motionsJE Seipel, PJ Holmes, RJ FullBiological cybernetics 91 (2), 76-90
68 2004
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
7 of 21 9/20/14 3:07 PM
Title Cited by Year
Globally coupled oscillator networksE Brown, P Holmes, J MoehlisPerspectives and Problems in Nolinear Science, 183-215
68 2003
On the attracting set for Duffing's equation: II. A geometrical modelfor moderate force and dampingP Holmes, D WhitleyPhysica D: Nonlinear Phenomena 7 (1), 111-123
68 1983
Reward rate optimization in two-alternative decision making:empirical tests of theoretical predictions.P Simen, D Contreras, C Buck, P Hu, P Holmes, JD CohenJournal of Experimental Psychology: Human Perception and Performance 35 (6...
66 2009
A model of interval timing by neural integrationP Simen, F Balci, JD Cohen, P HolmesThe Journal of Neuroscience 31 (25), 9238-9253
64 2011
Mechanisms underlying dependencies of performance on stimulushistory in a two-alternative forced-choice taskRY Cho, LE Nystrom, ET Brown, AD Jones, TS Braver, PJ Holmes, ...Cognitive, Affective, & Behavioral Neuroscience 2 (4), 283-299
63 2002
A simply stabilized running modelRM Ghigliazza, R Altendorfer, P Holmes, D KoditschekSIAM review 47 (3), 519-549
62 2005
Nonlinear propagation of light in one-dimensional periodicstructuresRH Goodman, MI Weinstein, PJ HolmesJournal of Nonlinear Science 11 (2), 123-168
62 2001
Non-linear, non-planar and non-periodic vibrations of a stringO O'Reilly, PJ HolmesJournal of Sound and Vibration 153 (3), 413-435
62 1992
Running in three dimensions: Analysis of a point-mass sprung-legmodelJE Seipel, P HolmesThe International Journal of Robotics Research 24 (8), 657-674
60 2005
UNFOLDING A DEGENERATE NONLINEAR OSCILLATOR: ACODIMENSION TWO BIFURCATION*P HolmesAnnals of the New York Academy of Sciences 357 (1), 473-488
60 1980
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
8 of 21 9/20/14 3:07 PM
Title Cited by Year
Knotted periodic orbits in suspensions of Smale's horseshoe:period multiplying and cabled knotsP HolmesPhysica D: Nonlinear Phenomena 21 (1), 7-41
59 1986
Spatial structure of time-periodic solutions of the Ginzburg-LandauequationP HolmesPhysica D: Nonlinear Phenomena 23 (1), 84-90
57 1986
A simple model for clock-actuated legged locomotionJ Seipel, P HolmesRegular and chaotic dynamics 12 (5), 502-520
55 2007
Josephson's junction, annulus maps, Birkhoff attractors,horseshoes and rotation setsK Hockett, P HolmesErgodic theory and dynamical systems 6 (02), 205-239
53 1986
Constrained Euler buckling: an interplay of computation andanalysisP Holmes, G Domokos, J Schmitt, I SzeberényiComputer Methods in Applied Mechanics and Engineering 170 (3), 175-207
52 1999
Mode-locking pulse dynamics in a fiber laser with a saturableBragg reflectorJN Kutz, BC Collings, K Bergman, S Tsuda, ST Cundiff, WH Knox, ...JOSA B 14 (10), 2681-2690
52 1997
The influence of spike rate and stimulus duration on noradrenergicneuronsE Brown, J Moehlis, P Holmes, E Clayton, J Rajkowski, G Aston-JonesJournal of Computational Neuroscience 17 (1), 13-29
51 2004
Intermittent dynamics in simple models of the turbulent wall layerG Berkooz, P Holmes, JL LumleyJournal of Fluid Mechanics 230, 75-95
51 1991
Noise induced intermittency in a model of a turbulent boundarylayerE Stone, P HolmesPhysica D: Nonlinear Phenomena 37 (1), 20-32
48 1989
Stability analysis of a clock-driven rigid-body SLIP model for RHexR Altendorfer, DE Koditschek, P HolmesThe International Journal of Robotics Research 23 (10-11), 1001-1012
47 2004
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
9 of 21 9/20/14 3:07 PM
Title Cited by Year
A minimal model of a central pattern generator and motoneuronsfor insect locomotionRM Ghigliazza, P HolmesSIAM Journal on Applied Dynamical Systems 3 (4), 671-700
46 2004
Dynamics of the Kirchhoff equations I: Coincident centers ofgravity and buoyancyP Holmes, J Jenkins, NE LeonardPhysica D: Nonlinear Phenomena 118 (3), 311-342
46 1998
Euler's problem, Euler's method, and the standard map; or, thediscrete charm of bucklingG Domokos, P HolmesJournal of Nonlinear Science 3 (1), 109-151
46 1993
Evidence for homoclinic orbits as a precursor to chaos in amagnetic pendulumFC Moon, J Cusumano, PJ HolmesPhysica D: Nonlinear Phenomena 24 (1), 383-390
46 1987
Modeling a simple choice task: stochastic dynamics of mutuallyinhibitory neural groupsE Brown, P HolmesStochastics and dynamics 1 (02), 159-191
45 2001
Nonlinear stability of axisymmetric swirling flowsA Szeri, P HolmesPhilosophical Transactions of the Royal Society of London. Series A ...
45 1988
Do humans produce the speed–accuracy trade-off that maximizesreward rate?R Bogacz, PT Hu, PJ Holmes, JD CohenThe Quarterly Journal of Experimental Psychology 63 (5), 863-891
44 2010
On the Cauchy problem of a generalized Ginzburg–LandauequationJ Duan, P HolmesNonlinear Analysis: Theory, Methods & Applications 22 (8), 1033-1040
44 1994
lN NONLINEAR OSCILLATORSP HolmesNew directions in dynamical systems 127, 150
44 1988
Periodic orbits in slowly varying oscillatorsS Wiggins, P HolmesSIAM journal on mathematical analysis 18 (3), 592-611
44 1987
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
10 of 21 9/20/14 3:07 PM
Title Cited by Year
Models for turbulent plane Couette flow using the properorthogonal decompositionJ Moehlis, TR Smith, P Holmes, H FaisstPhysics of Fluids (1994-present) 14 (7), 2493-2507
43 2002
Can monkeys choose optimally when faced with noisy stimuli andunequal rewards?S Feng, P Holmes, A Rorie, WT NewsomePLoS computational biology 5 (2), e1000284
42 2009
Some remarks on chaotic particle paths in time-periodic, three-dimensional swirling flowsPJ HolmesContemp. Math 28, 393-404
42 1984
Minimal models of bursting neurons: How multiple currents,conductances, and timescales affect bifurcation diagramsRM Ghigliazza, P HolmesSIAM Journal on Applied Dynamical Systems 3 (4), 636-670
41 2004
The limited effectiveness of normal forms: A critical review andextension of local bifurcation studies of the Brusselator PDERW Wittenberg, P HolmesPhysica D: Nonlinear Phenomena 100 (1), 1-40
40 1997
Exponentially small estimates for separatrix splittingsJ Scheurle, JE Marsden, P HolmesAsymptotics beyond All Orders, 187-195
39 1991
‘Strange’phenomena in dynamical systems and their physicalimplicationsP HolmesApplied Mathematical Modelling 1 (7), 362-366
39 1977
Oscillatory thermomechanical instability of an ultrathin catalystF Cirak, JE Cisternas, AM Cuitino, G Ertl, P Holmes, IG Kevrekidis, M Ortiz, ...Science 300 (5627), 1932-1936
38 2003
Scale and space localization in the Kuramoto–SivashinskyequationRW Wittenberg, P HolmesChaos: An Interdisciplinary Journal of Nonlinear Science 9 (2), 452-465
38 1999
A strange family of three-dimensional vector fields near adegenerate singularity 38 1980
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
11 of 21 9/20/14 3:07 PM
Title Cited by Year
PJ HolmesJournal of Differential Equations 37 (3), 382-403
Acquisition of decision making criteria: reward rate ultimately beatsaccuracyF Balci, P Simen, R Niyogi, A Saxe, JA Hughes, P Holmes, JD CohenAttention, Perception, & Psychophysics 73 (2), 640-657
37 2011
Mechanical models for insect locomotion: stability and parameterstudiesJ Schmitt, P HolmesPhysica D: Nonlinear Phenomena 156 (1), 139-168
37 2001
Dynamics of a nonlinear oscillator with feedback control I: localanalysisP HolmesJournal of dynamic systems, measurement, and control 107 (2), 159-165
37 1985
Bifurcation sequences in horseshoe maps: infinitely many routesto chaosP HolmesPhysics Letters A 104 (6), 299-302
37 1984
Low-dimensional models for turbulent plane Couette flow in aminimal flow unitTR Smith, J Moehlis, P HolmesJournal of Fluid Mechanics 538, 71-110
36 2005
Interaction of sine-Gordon kinks with defects: Phase spacetransport in a two-mode modelRH Goodman, PJ Holmes, MI WeinsteinPhysica D: Nonlinear Phenomena 161 (1), 21-44
36 2002
Power spectra of strange attractors near homoclinic orbitsV Brunsden, P HolmesPhysical review letters 58 (17), 1699
36 1987
Can dynamical systems approach turbulence?P HolmesWhither Turbulence? Turbulence at the crossroads, 195-249
35 1990
On linearly coupled relaxation oscillationsJ Bélair, P HolmesQuarterly of applied mathematics 42 (2), 193-219
34 1984
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
12 of 21 9/20/14 3:07 PM
Title Cited by Year
An elastic rod model for anguilliform swimmingT McMillen, P HolmesJournal of mathematical biology 53 (5), 843-886
33 2006
The existence of transverse homoclinic points in the SitnikovproblemH Dankowicz, P HolmesJournal of differential equations 116 (2), 468-483
33 1995
Control of bursting in boundary layer modelsBD Coller, P Holmes, JL LumleyApplied Mechanics Reviews 47 (6S), S139-S143
33 1994
Proof of non-integrability for the Henon-Heiles Hamiltonian near anexceptional integrable caseP HolmesPhysica D: Nonlinear Phenomena 5 (2), 335-347
33 1982
A hexapedal jointed-leg model for insect locomotion in thehorizontal planeRP Kukillaya, PJ HolmesBiological cybernetics 97 (5-6), 379-395
32 2007
Fronts, domain walls and pulses in a generalized Ginzburg-Landau equationJ Duan, P HolmesProceedings of the Edinburgh Mathematical Society (Series 2) 38 (01), 77-97
31 1995
On a Painlevé-type boundary-value problemP Holmes, D SpenceThe Quarterly Journal of Mechanics and Applied Mathematics 37 (4), 525-538
31 1984
New approaches to nonlinear problems in dynamicsPJ HolmesSiam
31 1980
Optimal decisions: From neural spikes, through stochasticdifferential equations, to behaviorP Holmes, SB Eric, J Moehlis, R Bogacz, GAO Juan, G Aston-Jones, ...IEICE Transactions on Fundamentals of Electronics, Communications and ...
30 2005
On the dynamics of cranes, or spherical pendula with movingsupportsRM Ghigliazza, P HolmesInternational Journal of Non-Linear Mechanics 37 (7), 1211-1221
30 2002
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
13 of 21 9/20/14 3:07 PM
Title Cited by Year
Optimality and robustness of a biophysical decision-making modelunder norepinephrine modulationP Eckhoff, KF Wong-Lin, P HolmesThe Journal of Neuroscience 29 (13), 4301-4311
29 2009
Turbulence, coherent structures, dynamical systems andsymmetryG Berkooz, P Holmes, JL LumleyCambridge Monographs on Mechanics, Cambridge University Press
29 1996
Power spectra of chaotic vibrations of a buckled beamV Brunsden, J Cortell, PJ HolmesJournal of sound and vibration 130 (1), 1-25
29 1989
Addendum: A magnetoelastic strange attractor:(1979 Journal ofSound and Vibration65, 275–296)PJ Holmes, FC MoonJournal of Sound and Vibration 69 (2), 339
29 1980
Dynamical systems and models for reversals of the earth'smagnetic fieldDRJ Chillingworth, PJ HolmesJournal of the International Association for Mathematical Geology 12 (1), 41-59
29 1980
On diffusion processes with variable drift rates as models fordecision making during learningP Eckhoff, P Holmes, C Law, PM Connolly, JI GoldNew journal of physics 10 (1), 015006
28 2008
CO oxidation on thin Pt crystals: Temperature slaving and thederivation of lumped modelsJ Cisternas, P Holmes, IG Kevrekidis, X LiThe Journal of chemical physics 118 (7), 3312-3328
28 2003
An ODE whose solutions contain all knots and linksRW Ghrist, PJ HolmesInternational Journal of Bifurcation and Chaos 6 (05), 779-800
28 1996
Observations regarding ‘‘Coherence and chaos in a model ofturbulent boundary layer’’by X. Zhou and L. Sirovich [Phys. FluidsA 4, 2855 (1992)]G Berkooz, P Holmes, JL Lumley, N Aubry, E StonePhysics of Fluids (1994-present) 6 (4), 1574-1578
28 1994
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
14 of 21 9/20/14 3:07 PM
Title Cited by Year
Unstable fixed points, heteroclinic cycles and exponential tails inturbulence productionE Stone, P HolmesPhysics Letters A 155 (1), 29-42
28 1991
Bifurcation and chaos in a simple feedback control systemP HolmesDecision and Control, 1983. The 22nd IEEE Conference on 22, 365-370
28 1983
Sequential effects in two-choice reaction time tasks:decomposition and synthesis of mechanismsJ Gao, KF Wong-Lin, P Holmes, P Simen, JD CohenNeural computation 21 (9), 2407-2436
27 2009
Simple models for excitable and oscillatory neural networksD Taylor, P HolmesJournal of mathematical biology 37 (5), 419-446
27 1998
Turbulence, coherent structures, symmetry and dynamicalsystemsP Holmes, JL Lumley, G BerkoozCambridge Monographs on Mechanics and Applied Mathematics. Cambridge ...
27 1996
Lumley, and G. BerkoozJL HolmesTurbulence, Coherence Structure, Dynamical Systems and Symmetry
27 1996
Mechanical models for insect locomotion: active muscles andenergy lossesJ Schmitt, P HolmesBiological cybernetics 89 (1), 43-55
26 2003
Control of noisy heteroclinic cyclesBD Coller, P Holmes, JL LumleyPhysica D: Nonlinear Phenomena 72 (1), 135-160
26 1994
On the relation between low-dimensional models and thedynamics of coherent structures in the turbulent wall layerG Berkooz, P Holmes, JL LumleyTheoretical and Computational Fluid Dynamics 4 (6), 255-269
26 1993
Knotted periodic orbits in suspensions of annulus mapsPJ HolmesProceedings of the Royal Society of London. A. Mathematical and Physical ...
26 1987
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
15 of 21 9/20/14 3:07 PM
Title Cited by Year
Nonlinear muscles, passive viscoelasticity and body taperconspire to create neuromechanical phase lags in anguilliformswimmersT McMillen, T Williams, P HolmesPLoS computational biology 4 (8), e1000157
25 2008
A neural network model of the Eriksen task: Reduction, analysis,and data fittingYS Liu, P Holmes, JD CohenNeural Computation 20 (2), 345-373
25 2008
Neuromechanical models for insect locomotion: Stability,maneuverability, and proprioceptive feedbackR Kukillaya, J Proctor, P HolmesCHAOS: An Interdisciplinary Journal of Nonlinear Science 19 (2), 026107
24 2009
Ninety plus thirty years of nonlinear dynamics: Less is more andmore is differentP HolmesInternational Journal of Bifurcation and Chaos 15 (09), 2703-2716
24 2005
Knotted periodic orbits in suspensions of Smale's horseshoe:extended families and bifurcation sequencesP HolmesPhysica D: Nonlinear Phenomena 40 (1), 42-64
24 1989
The existence of arbitrarily many distinct periodic orbits in a twodegree of freedom Hamiltonian systemP Veerman, P HolmesPhysica D: Nonlinear Phenomena 14 (2), 177-192
24 1985
How well can spring-mass-like telescoping leg models fitmulti-pedal sagittal-plane locomotion data?M Srinivasan, P HolmesJournal of theoretical biology 255 (1), 1-7
23 2008
Three-dimensional translational dynamics and stability of multi-legged runnersJ Seipel, P HolmesThe International Journal of Robotics Research 25 (9), 889-902
23 2006
Meta‐analysis of trials comparing ximelagatran with low molecularweight heparin for prevention of venous thromboembolism aftermajor orthopaedic surgeryAT Cohen, C Hirst, B Sherrill, P Holmes, D Fidan
23 2005
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
16 of 21 9/20/14 3:07 PM
Title Cited by Year
British journal of surgery 92 (11), 1335-1344
Motions and stability of a piecewise holonomic system: thediscrete Chaplygin sleighMJ Coleman, P HolmesRegular and chaotic dynamics 4 (2), 55-77
23 1999
Periodic, nonperiodic and irregular motions in a HamiltoniansystemP HolmesJOURNAL OF MATHEMATICS 10 (4)
23 1980
Reflexes and preflexes: on the role of sensory feedback onrhythmic patterns in insect locomotionJ Proctor, P HolmesBiological cybernetics 102 (6), 513-531
22 2010
Towards a factored analysis of legged locomotion modelsR Altendorfer, DE Koditschek, P HolmesRobotics and Automation, 2003. Proceedings. ICRA'03. IEEE International ...
22 2003
Heteroclinic cycles and modulated travelling waves in a systemwith< i> D</i>< sub> 4</sub> symmetryS Ann Campbell, P HolmesPhysica D: Nonlinear Phenomena 59 (1), 52-78
22 1992
The effect of modeled drag reduction on the wall regionN Aubry, JL Lumley, P HolmesTheoretical and Computational Fluid Dynamics 1 (4), 229-248
22 1990
Space-and time-periodic perturbations of the sine-GordonequationP HolmesDynamical Systems and Turbulence, Warwick 1980, 164-191
22 1981
On the derivation and tuning of phase oscillator models forlamprey central pattern generatorsPL Várkonyi, T Kiemel, K Hoffman, AH Cohen, P HolmesJournal of computational neuroscience 25 (2), 245-261
21 2008
Homoclinic explosions and implosionsA Doelman, P HolmesPhilosophical Transactions of the Royal Society of London. Series A ...
21 1996
Turbulence, Coherent StructuresG Berkooz, P Holmes, JL Lumley 21 1996
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
17 of 21 9/20/14 3:07 PM
Title Cited by Year
Dynamical Systems and Symmetry. Cambridge Monographs on Mechanics.Cambridge ...
Coherent structures in random media and waveletsG Berkooz, J Elezgaray, P HolmesPhysica D: Nonlinear Phenomena 61 (1), 47-58
21 1992
Bifurcation from O (2) symmetric heteroclinic cycles with threeinteracting modesSA Campbell, P HolmesNonlinearity 4 (3), 697
21 1991
Collective oscillations in the visual cortexDM Kammen, C Koch, PJ HolmesAdvances in neural information processing systems, 76-83
21 1990
Double Hopf bifurcation and quasi-periodic flow in a model forbaroclinic instabilityIM Moroz, P HolmesJournal of the Atmospheric Sciences 41 (21), 3147-3160
21 1984
Data analysis criteria and instrumentation requirements for thetransient measurement of mechanical impedancePJ Holmes, RG WhiteJournal of Sound and Vibration 25 (2), 217-243
21 1972
Spikes alone do not behavior make: why neuroscience needsbiomechanicsED Tytell, P Holmes, AH CohenCurrent opinion in neurobiology 21 (5), 816-822
20 2011
Local models of spatio-temporally complex fieldsH Dankowicz, P Holmes, G Berkooz, J ElezgarayPhysica D: Nonlinear Phenomena 90 (4), 387-407
20 1996
Stochastic analysis of wind-loaded structuresYK Lin, PJ HolmesJournal of the Engineering Mechanics Division 104 (2), 421-440
20 1978
Optimal performance in a countermanding saccade taskKF Wong-Lin, P Eckhoff, P Holmes, JD CohenBrain research 1318, 178-187
19 2010
Robust versus optimal strategies for two-alternative forced choicetasksM Zacksenhouse, R Bogacz, P Holmes
18 2010
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Title Cited by Year
Journal of mathematical psychology 54 (2), 230-246
Dynamical analysis of Bayesian inference models for the EriksentaskYS Liu, A Yu, P HolmesNeural computation 21 (6), 1520-1553
18 2009
On the dynamics of electrically-coupled neurons with inhibitorysynapsesJ Gao, P HolmesJournal of computational neuroscience 22 (1), 39-61
18 2007
Fundamental aspects of incompressible and compressibleturbulent flowsJL Lurnley, G Berkooz, J Elezgaray, P Holmes, A Poje, C VolteSimulation and Modeling of Turbulent Flows, 5
17 1996
Application of dynamical system theory to coherent structures inthe wall regionN Aubry, P Holmes, JL Lumley, E StonePhysica D: Nonlinear Phenomena 37 (1), 1-10
17 1989
Nonlinear oscillations and the smale horseshoe mapP HolmesChaos and Fractals: The Mathematics Behind the Computer Graphics, 25-39
17 1989
EEG oscillations reveal neural correlates of evidenceaccumulationMK Van Vugt, P Simen, LE Nystrom, P Holmes, JD CohenFrontiers in neuroscience 6
16 2012
Steering by transient destabilization in piecewise-holonomicmodels of legged locomotionJ Proctor, P HolmesRegular and Chaotic Dynamics 13 (4), 267-282
16 2008
Towards a neuromechanical model for insect locomotion: hybriddynamical systemsRM Ghigliazza, P HolmesRegular and Chaotic dynamics 10 (2), 193-225
16 2005
Euler buckling in a potential fieldP Holmes, G Domokos, G HekJournal of Nonlinear Science 10 (4), 477-505
16 2000
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
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Title Cited by Year
Wavelet projections of the Kuramoto-Sivashinsky equation I.Heteroclinic cycles and modulated traveling waves for shortsystemsM Myers, P Holmes, J Elezgaray, G BerkoozPhysica D: Nonlinear Phenomena 86 (3), 396-427
16 1995
Interaction of adjacent bursts in the wall regionBD Coller, P Holmes, JL LumleyPhysics of Fluids (1994-present) 6 (2), 954-961
16 1994
Knots and orbit genealogies in three dimensional flowsR Ghrist, P HolmesBifurcations and Periodic Orbits of Vector Fields, 185-239
16 1993
Nonlinear oscillationsAH Nayfeh, DT Mook, P HolmesJournal of Applied Mechanics 47, 692
16 1980
On a dynamical model for phase transformation in nonlinearelasticityWD Kalies, PJ HolmesFields Inst. Commun 5, 255-269
15 1996
The proper orthogonal decomposition, wavelets and modalapproaches to the dynamics of coherent structuresG Berkooz, J Elezgaray, P Holmes, J Lumley, A PojeApplied scientific research 53 (3-4), 321-338
15 1994
Heteroclinic cycles, exponential tails, and intermittency inturbulence productionP Holmes, E StoneStudies in Turbulence, 179-189
15 1992
Intersegmental coordination of cockroach locomotion: adaptivecontrol of centrally coupled pattern generator circuitsE Fuchs, P Holmes, T Kiemel, A AyaliFrontiers in neural circuits 4
14 2010
The Proper Orthogonal Decompositions in the Analysis ofTurbulent FlowsG Berkooz, P Holmes, JL LumleyAnnual Review of Fluid Mechanics 25, 537-537
14 1993
Bifurcations of dynamical systems and nonlinear oscillations inengineering systems 14 1978
Philip Holmes - Google Scholar Citations http://scholar.google.com/citations?hl=en&user=HkPSfzgAA...
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Title Cited by Year
PJ Holmes, JE MarsdenNonlinear partial differential equations and applications, 163-206
Dimension reduction and dynamics of a spiking neural networkmodel for decision making under neuromodulationP Eckhoff, KF Wong-Lin, P HolmesSIAM journal on applied dynamical systems 10 (1), 148-188
13 2011
A phase-reduced neuro-mechanical model for insect locomotion:feed-forward stability and proprioceptive feedbackJ Proctor, RP Kukillaya, P HolmesPhilosophical Transactions of the Royal Society A: Mathematical, Physical ...
13 2010
Buckling of extensible thermoelastic rodsJ Cisternas, P HolmesMathematical and computer modelling 36 (3), 233-243
13 2002
Homoclinic Saddle‐Node Bifurcations and Subshifts in a Three‐Dimensional FlowG Hek, A Doelman, P HolmesArchive for rational mechanics and analysis 145 (4), 291-329
13 1998
Reduction, stability, instability and bifurcation in rotationallysymmetric Hamiltonian systemsB Zombro, P HolmesDynamics and Stability of Systems 8 (1), 41-71
13 1993
Nonlinear dynamics, chaos, and mechanicsP HolmesApplied Mechanics Reviews 43 (5S), S23-S39
13 1990
A decision task in a social context: Human experiments, models,and analyses of behavioral dataA Nedic, D Tomlin, P Holmes, DA Prentice, JD CohenProceedings of the IEEE 100 (3), 713-733
12 2012
A simple decision task in a social context: Experiments, a model,and preliminary analyses of behavioral dataA Nedic, D Tomlin, P Holmes, DA Prentice, JD CohenDecision and Control, 2008. CDC 2008. 47th IEEE Conference on, 1115-1120
12 2008
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