SJSU, CS 286/4, 3T: 10 September

Ralph Abraham, abraham@vismath.org

1D maps, continued

  • Silent B&W classic film by Shaw and Roux, Chemical Chaos
  • Discussion of embedding technique, from 1D data to 1D map
  • Further re attractor concept
  • Only computer graphics can find attractors
  • Response diagram of the quadratic family
  • The period-doubling (flip) bifurcation
  • Chaotic attractors and periodic windows
  • The cubic family, multiple attractors

Revised by Ralph Abraham, 11 September 2002