Hyperbolic Chaos

Beschreibung

This book reviews progress on uniformly hyperbolic attractors in dynamical systems from the perspective of physics. The text shows how to find hyperbolic chaotic attractors in physical systems and how to design physical systems that possess hyperbolic chaos.

"Hyperbolic Chaos: A Physicist’s View” presents recent progress on uniformly hyperbolic attractors in dynamical systems from a physical rather than mathematical perspective (e.g. the Plykin attractor, the Smale – Williams solenoid). The structurally stable attractors manifest strong stochastic properties, but are insensitive to variation of functions and parameters in the dynamical systems. Based on these characteristics of hyperbolic chaos, this monograph shows how to find hyperbolic chaotic attractors in physical systems and how to design a physical systems that possess hyperbolic chaos.
 
This book is designed as a reference work for university professors and researchers in the fields of physics, mechanics, and engineering.
 
Dr. Sergey P. Kuznetsov is a professor at the Department of Nonlinear Processes, Saratov State University, Russia.

Written by an experienced teacher of nonlinear dynamics and chaos theory

Accessible to readers with different levels of knowledge

Stresses applications of the mathematical theory

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Sergey P. Kuznetsov

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From the reviews:

“The material presented in this book shows significant progress in the main directions of the research program aimed at establishing better links between the abstract theory of hyperbolic systems and real examples of chaotic systems. … Each chapter supplies a wealth of references for further studies … . This monograph will be useful for mathematicians interested in applications of the theory of hyperbolic attractors, as well as for physicists and engineers dealing with real life applications of the theory of deterministic chaos.” (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1239, 2012)

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