1. Spencer Hart Advisor: Gus Hart
Understanding Chaos
Spencer Hart
Advisor: Gus Hart

2. What is Chaos? noun 1. complete disorder and confusion. PHYSICS
behavior so unpredictable as to appear random, owing to great sensitivity to small changes in [initial] conditions

3. What types of systems exhibit chaos?
Non-linear systems
Dripping faucet
Weather
Heart fibrillation

4. Simple Pendulum

5. Simple Pendulum

6. Physical Pendulum

7. Phase Space Plots

8. Effect of Driving Force

9. Effect of Driving Force

10. Low Driving Force

11. Low Driving Force

12. High Driving Force

13. High Driving Force

14. Is there any hope?

15. Attractors
Attractor: “Physics: A set of physical properties toward which a system tends to evolve, regardless of the starting conditions of the system.” -thefreedictionary.com

16. The Chaos Game 6

17. The Chaos Game

18. The Chaos Game

19. The Chaos Game

20. The Chaos Game

21. The Chaos Game

22. Any Ideas?

23. Sierpinski Triangle

24. Iterations

25. Fractal Nature Strange Attractor
Approx. 81x zoom

26. Strange Attractor for Pendulum

27. Strange Attractor for Pendulum

28. Real life?