Chaos : concepts, control and constructive use / Yurii Bolotin, Anatoli Tur, Vladimir Yanovsky.
2017
Q172.5.C45
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Title
Chaos : concepts, control and constructive use / Yurii Bolotin, Anatoli Tur, Vladimir Yanovsky.
Author
Bolotin, Yurii, author.
Edition
2nd ed.
ISBN
9783319424965 (electronic book)
3319424963 (electronic book)
9783319424958
3319424963 (electronic book)
9783319424958
Published
Cham : Springer, ©2017.
Language
English
Description
1 online resource (xi, 281 pages) : illustrations.
Item Number
10.1007/978-3-319-42496-5 doi
Call Number
Q172.5.C45
Dewey Decimal Classification
003/.857
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Digital File Characteristics
text file PDF
Added Author
Tur, Anatoli, author.
Yanovsky, Vladimir, author.
Yanovsky, Vladimir, author.
Series
Understanding complex systems.
Springer complexity.
Springer complexity.
Available in Other Form
Print version: 9783319424958
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Table of Contents
Introduction
Paradigm for Chaos
Main Features of Chaotic Systems
Reconstruction of Dynamical Systems
Controlling Chaos
Synchronization of Chaotic Systems
Stochastic Resonance
The Appearance of Regular Fluxes Without Gradients
Quantum Manifestations of Classical chaoticity
Tunneling and Chaos.
Paradigm for Chaos
Main Features of Chaotic Systems
Reconstruction of Dynamical Systems
Controlling Chaos
Synchronization of Chaotic Systems
Stochastic Resonance
The Appearance of Regular Fluxes Without Gradients
Quantum Manifestations of Classical chaoticity
Tunneling and Chaos.