SJSU, CS 286/4, 2R: 05 September

Ralph Abraham, abraham@vismath.org

Topics

  • Enrollment now is 12
  • Syllabus will be rearranged to facilitate earlier projects
  • Correction to 02T:
    Trajectory: the sequence, (x0, x1,...)
    An infinite sequence even if x0 is a fixed point
    Orbit is a set {x0, x1,...}
    Duplications are removed, a singleton set if x0 is a fixed point
  • Concepts of complex dynamical systems:
    a dynamical scheme
    a coupling or link from one scheme to another
    a digraph or directed graph
    a complex dynamical scheme or system
    a cellular dynamical scheme or system
Details may be found in MS#98.

Assignment

From the VMI Chaos Lab, KL Steps, download Script 1a, look for attractors in each range of R listed in Suggestions 1a, report your findings via email to ralph by 5pm on monday 09 sept 2002
Revised by Ralph Abraham, 06 Sept 2002