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 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.