Chaos on the Web

Physics 161: Introduction to Chaos

Topics

• Part 1: Introduction

  • 1. Lorenz Model: an introduction to chaos
  • 2. The Pendulum: the language of dynamical systems
  • 3. Nonlinear Oscillators: quasiperiodicity and frequency locking
  • 4. One Dimensional Maps
  • 5. Two Dimensional Maps
  
  

• Part 2: Diagnostics

  • 6. Power Spectrum
  • 7. Lyapunov Exponents
  • 8. Information and Entropy
  • 9. Dimensions
  • 10. Multifractals
  
  

• Part 3: Application to Experiment

  • 11. Reconstructing the Attractor
  • 12. Experimental Systems
  
  

• Part 4: Bifurcations

  • 13. Bifurcation Theory
  • 14. Bifurcations in Maps with a Quadratic Maximum
  
  

• Part 5: Period Doubling Route to Chaos

  • 15. Pictorial Renormalization Group
  • 16. Renormalization Group Theory
  • 17. Advanced Topics
  
  

• Part 6: Quasiperiodicity, Chaos and Frequency Locking

  • 18. Driven Pendulum and the 2d Circle Map
  • 19. 1d Circle Map
  • 20. Universal Breakdown from Quasiperiodicity to Chaos
  • 21. Ruelle and Takens Theorem
  
  

• Part 7: Further Topics

  • 22. Mathematical Chaos
  • 23. Predicting Chaos
  • 24. Controlling Chaos
  • 25. Applications of Chaos
  • 26. Shadowing
  • 27. Hamiltonian Chaos: Introduction
  • 28. Hamiltonian Chaos: Theory
  • 29. Quantum Chaos