Overview
- 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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Table of contents (14 chapters)
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Front Matter
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Basic Notions and Review
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Front Matter
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Low-Dimensional Models
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Front Matter
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Higher-Dimensional Systems and Phenomena
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Front Matter
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Back Matter
Keywords
About this book
"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.
Reviews
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)
Authors and Affiliations
Bibliographic Information
Book Title: Hyperbolic Chaos
Book Subtitle: A Physicist’s View
Authors: Sergey P. Kuznetsov
DOI: https://doi.org/10.1007/978-3-642-23666-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Higher Education Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg 2012
eBook ISBN: 978-3-642-23666-2Published: 20 March 2012
Edition Number: 1
Number of Pages: XVI, 320
Number of Illustrations: 80 b/w illustrations
Additional Information: Jointly published with Higher Education Press
Topics: Applications of Nonlinear Dynamics and Chaos Theory, Systems Theory, Control, Vibration, Dynamical Systems, Control