Overview
- Offers a concise introduction to the key concepts and control of chaos in dynamical systems
- Explores, in this second edition, the many interfaces of quantum physics and dynamical systems
- Examines the potential role of chaos as control parameter itself in applications
Part of the book series: Understanding Complex Systems (UCS)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book offers a short and concise introduction to the many facets of chaos theory.
While the study of chaotic behavior in nonlinear, dynamical systems is a well-established research field with ramifications in all areas of science, there is a lot to be learnt about how chaos can be controlled and, under appropriate conditions, can actually be constructive in the sense of becoming a control parameter for the system under investigation, stochastic resonance being a prime example.
The present work stresses the latter aspects and, after recalling the paradigm changes introduced by the concept of chaos, leads the reader skillfully through the basics of chaos control by detailing the relevant algorithms for both Hamiltonian and dissipative systems, among others.
The main part of the book is then devoted to the issue of synchronization in chaotic systems, an introduction to stochastic resonance, and a survey of ratchet models. In this second, revised and enlarged edition, two more chapters explore the many interfaces of quantum physics and dynamical systems, examining in turn statistical properties of energy spectra, quantum ratchets, and dynamical tunneling, among others.
This text is particularly suitable for non-specialist scientists, engineers, and applied mathematical scientists from related areas, wishing to enter the field quickly and efficiently.
From the reviews of the first edition:
This book is an excellent introduction to the key concepts and control of chaos in (random) dynamical systems [...] The authors find an outstanding balance between main physical ideas and mathematical terminology to reach their audience in an impressive and lucid manner. This book is ideal for anybody who would like to grasp quickly the main issues related to chaos in discrete and continuous time. Henri Schurz, Zentralblatt MATH, Vol. 1178, 2010.
Reviews
Authors and Affiliations
Bibliographic Information
Book Title: Chaos: Concepts, Control and Constructive Use
Authors: Yurii Bolotin, Anatoli Tur, Vladimir Yanovsky
Series Title: Understanding Complex Systems
DOI: https://doi.org/10.1007/978-3-319-42496-5
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2017
Hardcover ISBN: 978-3-319-42495-8Published: 01 November 2016
Softcover ISBN: 978-3-319-82592-2Published: 28 June 2018
eBook ISBN: 978-3-319-42496-5Published: 24 October 2016
Series ISSN: 1860-0832
Series E-ISSN: 1860-0840
Edition Number: 2
Number of Pages: XI, 281
Number of Illustrations: 119 b/w illustrations
Topics: Complex Systems, Vibration, Dynamical Systems, Control, Systems Theory, Control, Complexity, Mathematical Methods in Physics, Statistical Physics and Dynamical Systems