Robust Chaos And Its Applications

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A01=Julien Clinton Sprott
A01=Zeraoulia Elhadj
Author_Julien Clinton Sprott
Author_Zeraoulia Elhadj
Category=PBWS
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Hyperbolic Structure
Invariant Foliation
Lorenz-Type Systems
Map Technique
PoincarAfA(C)
Poincare
Poincaré
Quasi-Attractors
Robust Chaos in 2-D Piecewise Smooth Maps
Robust Chaos in One Dimensional Maps
Robustness of Chaos
Shadowing Lemma
Smale Horseshoe
Statistical Properties of Chaotic Attractors
Structural Stability Transversality
Symbolic Dynamics

Product details

  • ISBN 9789814374071
  • Publication Date: 18 Oct 2011
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical system. This unique book explores the definition, sources, and roles of robust chaos. The book is written in a reasonably self-contained manner and aims to provide students and researchers with the necessary understanding of the subject. Most of the known results, experiments, and conjectures about chaos in general and about robust chaos in particular are collected here in a pedagogical form. Many examples of dynamical systems, ranging from purely mathematical to natural and social processes displaying robust chaos, are discussed in detail. At the end of each chapter is a set of exercises and open problems (more than 260 in the whole book) intended to reinforce the ideas and provide additional experiences for both readers and researchers in nonlinear science in general, and chaos theory in particular.

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