UCSC Math 23a, Winter 2004


Exercizes for Chaos Theory

HW#XA1: Read pp. 1-23 of Dyn Visual Intro (eRes)

HW#XA2: For v'fds 1-3 (expressed in polar coords, R and A) draw attractor basin portraits :

  1. R' = 1-R^2; A' = 1
  2. R' = R-R^3; A' = 1+R^2
  3. R' = -R-R^3; A' = 1+R^2
  4. Draw an example of a virtual separatrix

HW#XB: Draw response diagrams for the scheme:

  1. R' = c*R-R^3; A' = 1+R^2 (c from -1 to +1)

Revised 08 Mar 2004 by RHA