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 7: Example Chaotic Maps (that you can analyze)

Reading: NDAC, Sections 10.5-10.7.
Topics:

  1. Review last lecture.
  2. Shift Map
  3. LCEs for Maps
  4. Tent Map
  5. Logistic Map
  6. LCE view of period-doubling route to chaos
  7. Period-doubling self-similarity
  8. Renormalization group analysis of scaling

Reading for next meeting: Lecture Notes.