PHY 28A
Natural Computation and Self-Organization:
The Physics of Information Processing in Complex Systems

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

Winter
WWW: http://csc.ucdavis.edu/~chaos/courses/poci/

Lecture 6: Mechanism of Chaos: Stable Instability

Reading: NDAC, Sec. 12.0-12.3, 9.3, and 10.5.
Topics:

  1. Review last lecture.
  2. Chaotic mechanisms: Stretch and fold
  3. Baker’s map
  4. Cat map (and stretch demo)
  5. Henon map: stretch-fold and self-similarity
  6. Roessler attractor branched manifold
  7. Dot spreading: Roessler and Lorenz ODEs
  8. Lyapunov characteristic exponents (LCEs)
  9. Time to unpredictability
  10. Dissipation rate
  11. Attractor LCE classification
  12. Chaos defined

Reading for next meeting: NDAC, Sections 10.5-10.7.