Images of a complex world : the art and poetry of chaos / Robin Chapman, Julien Clinton Sprott ; foreword by Clifford A. Pickover.

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Bibliographic Details
Main Author: Chapman, Robin S.
Other Authors: Sprott, Julien C., Pickover, Clifford A.
Format: Book
Language:English
Published: New Jersey : World Scientific, c2005.
Subjects:
Table of Contents:
  • Ch. 1. Dynamical systems. Simple or complex? Linear or nonlinear?
  • ch. 2. Viewing dynamics. Where do we go next? (time series). Have we been here before? (state space)
  • ch. 3. Where it all ends. Attractors. Stillness (fixed points). Endless repetition (limit cycles). Doughnuts and inner tubes (tori). Strange attractors (chaos)
  • ch. 4. Routes to chaos. Fork in the road (bifurcations). Skipping a beat (period-doubling). On the edge of chaos
  • ch. 5. Images of chaos. Chaos or noise? Strange attractors. Stretching and moving (iterated function systems). Escaping the attractor (generalized Julia sets)
  • ch. 6. Chaos and predictability. Time's arrow. The butterfly effect (sensitive dependence)
  • ch. 7. Truth and beauty. Fractals. Mirror images. Flower petals.