Nonlinear Physics: Modeling Chaos & Complexity

Jim Crutchfield
chaos@cse.ucdavis.edu; http://cse.ucdavis.edu/~chaos

Spring 2010
WWW: http://cse.ucdavis.edu/~chaos/courses/nlp/

Lecture 2: The Big Picture

Reading: NDAC, Chapters 1 and 2.
Topics:

  1. Discuss Chaos and Odds readings and homework
  2. Pendulum demo
  3. Qualitative Dynamics: A geometric view of behavior
  4. State space
  5. Dynamic
  6. Flows
  7. Attractors
  8. Basins
  9. Submanifolds
  10. Concrete, but simple example: One-dimensional flows

Reading for next meeting: NDAC, Sections 6.0-6.4, 7.0-7.3, and 9.0-9.4