CHAOS THEORY and the butterfly effect

# CHAOS THEORY and the butterfly effect

## CHAOS THEORY and the butterfly effect

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##### Presentation Transcript

2. Index Slide: 2 CHAOS THEORY Presentation by: Assaad Moawad Introduction History Applications Movies Quotes and moral conclusion

3. Part 1 - Introduction – Butterfly effect Slide: 3 CHAOS THEORY Presentation by: Assaad Moawad When a tiny variationchanges 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.

4. Part 1 - Introduction – 3 kinds of systems Slide: 4 CHAOS THEORY Presentation by: Assaad Moawad • 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 long term because they are very complex and sensitive. • Seems to be illogical and paradoxal?

5. Part 1 - Introduction – 3 kinds of systems Input System Output Slide: 5 CHAOS THEORY Presentation by: Assaad Moawad

6. Part 1 - Introduction – 3 kinds of systems Input System Output Slide: 6 CHAOS THEORY Presentation by: Assaad Moawad

7. Part 1 - Introduction – 3 kinds of systems Input System Output Slide: 7 CHAOS THEORY Presentation by: Assaad Moawad

8. Part 1 - Introduction – 3 kinds of systems Input System Output So that’s how the chaotic system is: Deterministic Highly sensitive (butterfly effect) Unpredictable on the long term Slide: 8 CHAOS THEORY Presentation by: Assaad Moawad

9. Part 2 - History of the Theory Slide: 9 CHAOS THEORY Presentation by: Assaad Moawad Edward Lorenz in 1961 used a numerical computer model to 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 day’s last output was 0.506127. He entered 0.506 expecting to continue on. The result was a completely different weather scenario!!!

10. Part 2 - History of the Theory • 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 Slide: 10 CHAOS THEORY Presentation by: Assaad Moawad

11. Part 2 - History of the Theory Slide: 11 CHAOS THEORY Presentation by: Assaad Moawad In 1972, Philip Merilees quoted Does the flap of a butterfly’s wings in Brazil set off a tornado in Texas? This is why we call it butterfly effect….

12. Part 3 - Applications Slide: 12 CHAOS THEORY Presentation by: Assaad Moawad 1- The weather: Can you predict weather of the next year? 2- The stock market: Can you predict exchange rates? 3- Biology: Can you predict how a virus is going to spread? 4- Physics: Can you predict the motion of gas in vacuum? 5- Evolution of life: small changes in the chemistry of the early Earth gives rise to life.

13. Part 3 - Applications Slide: 13 CHAOS THEORY Presentation by: Assaad Moawad 6- Fractals: Even art has been touched with the chaos theory: 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.

14. Part 3 - Applications Slide: 14 CHAOS THEORY Presentation by: Assaad Moawad 7- Aviation 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.

15. Part 3 - Applications Slide: 15 CHAOS THEORY Presentation by: Assaad Moawad 8- Highway traffic jams: Unpredictable and very complex system. 9- Psychology: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 searching for basis to build stories.

16. Part 4 - Movies Slide: 16 CHAOS THEORY Presentation by: Assaad Moawad

17. Part 4 - Movies Slide: 17 CHAOS THEORY Presentation by: Assaad Moawad

18. Part 5 – Quotes inspired from the theory Slide: 18 CHAOS THEORY Presentation by: Assaad Moawad 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.