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8/11/2019 chaostheorythebutterflyeffect-110907040910-phpapp02

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CHAOS THEORY

and the butterfly effect

English presentation

By Assaad Moawa


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Index

Introduction

History

Applications

Movies

Quotes and moral conclusion

Presentation by: Assaad MoawadCHAOS THEORYSlide: 2


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Part 1 - IntroductionButterfly effect

When a tiny variation changes the results of a system

dramatically (over a period of time), this sensitivity is

what we call the butterfly effect.

Why was it called like that? Answer in the history section.



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Linear (Normal) System We can guess very precisely its behavior.

Ex: Almost all systems we use are linear

Random Systems

We cannot guess at all! Ex: Throwing the dice.

Chaotic Systems

Deterministic with no random, but unpredictable on longterm because they are very complex and sensitive.

Seems to be illogical and paradoxal?

Part 1 - Introduction3 kinds of systems



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Input Output of a

normal system

Output of a

random system

Output of a

chaotic system

5 22.5 4 10

5.001 Can you predict? Can you predict? Can you predict?

SystemInput Output




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Input Output of a

normal system

Output of a

random system

Output of a

chaotic system

5 22.5 4 10

5.001 22.503 25 (??) 37 (??)

10 Can you predict? Can you predict? Can you predict?

SystemInput Output




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Input Output of a

normal system

Output of a

random system

Output of a

chaotic system

5 22.5 4 10

5.001 22.503 25 37

10 45 (value doubled) 9 (??) 29(??)

5 Can you predict? Can you predict? Can you predict?

SystemInput Output




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Input Output of a

normal system

Output of a

random system

Output of a

chaotic system

5 22.5 4 (??) 10

5.001 22.503 25 37

10 45 9 29

5 22.5 46(??) 10

SystemInput Output


So thats how the chaotic system is:1. Deterministic

2. Highly sensitive (butterfly effect)

3. Unpredictable on the long term



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Part 2 - History of the Theory

Edward Lorenz in 1961 used a numerical computer modelto run a weather prediction.

Lorenz was modeling the atmosphere with a set of three

simple partial differential equations.

One day he wanted to restart his computations where he

ended the day before. The previous dayslast output was

0.506127. He entered 0.506 expecting to continue on.

The result was a completely different weather scenario!!!



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This is what he observed:

Small difference

of the input:

0.506 instead

of 0.506127

Extreme

Differences

of the output



After a period of time


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In 1972, Philip Merilees quoted Does the flap of a

butterflysw ings in B razi l set off a tornado in Texas?

This is why we call it butterfly effect.




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1- The weather: Can you predict weather of the next year?

2- The stock m arket: Can you predict exchange rates?

3- Biology:Can you predict how a virus is going to spread?

4- Phys ics:Can you predict the motion of gas in vacuum?

5- Evolut io n of l i fe: small changes in the chemistry of the

early Earth gives rise to life.

Part 3 - Applications

http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2


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6- Fractals : Even art has been touched with the chaostheory: A fractal is generally a rough or fragmented

geometric shape that can be split into parts, each of which

is a reduced-size copy of the whole, a property called "self-

similarity. Fractals are often considered to be infinitely

complex.

http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2


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7- Aviat ion safety:The Swiss cheese model.

The holes represent individual weaknesses and are

continually varying in size and position in all slices.

The system produces failures when all of the holes in each

of the slices momentarily align.


http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2


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8- Highway traff ic jams:Unpredictable and very complexsystem.

9- Psycholog y:A small psychological fact in childhood

can lead to problems or suicide in adolescence.

10- Time travel: The butterfly effect theory presents

scenarios involving time travel with "what if " scenarios.

This fact attracts Hollywood which is always searchingfor basis to build stories.


http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2http://en.wikipedia.org/wiki/The_Butterfly_Effect_2


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Part 4 - Movies



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Part 4 - Movies


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Part 5Quotes inspired from the theory

You can stay at home and be happily introspective or you

can make the choice, step out, and be the Butterfly that

begins the tempest that changes the world. (John Sanford)

Sometimes it's the smallest decisions that can change

your life forever. (Keri Russell)

Everything we do affects other people.



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Thank you for your attention.

Assaad Moawad

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