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Images of a complex world :
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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:
Dynamics.
Chaotic behavior in systems.
Fractals.
Nonlinear theories.
Mathematics in art.
Mathematics in literature.
Digital art.
Holdings
Description
Table of Contents
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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.
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