Controlling chaos theoretical and practical methods in non- linear dynamics

More than two decades of intensive studies on non-linear dynamics have raised questions on the practical applications of chaos. One possible answer is to control chaotic behavior in a predictable way. This book, oneof the first on the subject, explores the ideas behind controlling chaos. Controlling...

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Bibliographic Details
Main Author: Kapitaniak, Tomasz
Format: eBook
Language:English
Published: London Harcourt Brace 1996, c1996
Subjects:
Online Access:
Collection: Elsevier ScienceDirect eBooks - Collection details see MPG.ReNa
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245 0 0 |a Controlling chaos  |h [electronic resource]  |h Elektronische Ressource  |b theoretical and practical methods in non- linear dynamics  |c Tomasz Kapitaniak 
246 3 1 |a Non-linear dynamics 
260 |a London  |b Harcourt Brace  |c 1996, c1996 
300 |a online resource (viii, 164 p., 2 p. of plates)  |b ill. (2 col.) 
505 0 |a General Outlook: Introduction. Controlling Chaos Through Feedback: Ott-Grebogi-Yorke Method. Pyragass and Classical Control Methods. Controlling Chaos by Chaos. Controlling Chaos without Feedback: Control Through Operating Conditions. Control by System Design. Taming Chaos. Entrainment and Migration Control. Syhnchronization of Chaos: Pecora and Carrolls Approach. Synchronization by Continuous Control. Monotonic Synchronization. Practical Synchronization. Synchronization in Quasi-Hyperbolic Systems. Secure Communication. Engineering Implementations: Method Selection. Occasional Proportional Feedback Method. Sampled Input Waveform Method. Controlling Transient Behavior in Mechanical Systems. Further Reading. References. Part II: Selected Reprints: E. Ott, C. Grebogi, and Y.A. Yorke, Controlling Chaos. F.J. Romeiras, C. Grebogi, E. Ott, and W.P. Dayawansa, Controlling Chaotic Dynamical Systems. U. Dressler and G. Nitsche, Controlling Chaos Using Time Delay Coordinates. W.L. Di 
505 0 |a General outlook -- Selected reprints 
505 0 |a Includes bibliographical references (p. [71]-74) and index 
653 |a Dynamics / fast / (OCoLC)fst00900295 
653 |a Chaotic behavior in systems 
653 |a Nonlinear theories 
653 |a Chaotic behavior in systems / fast / (OCoLC)fst00852171 
653 |a Nonlinear theories / fast / (OCoLC)fst01038812 
653 |a Dynamics 
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520 |a More than two decades of intensive studies on non-linear dynamics have raised questions on the practical applications of chaos. One possible answer is to control chaotic behavior in a predictable way. This book, oneof the first on the subject, explores the ideas behind controlling chaos. Controlling Chaos explains, using simple examples, both the mathematical theory and experimental results used to apply chaotic dynamics to real engineering systems. Chuas circuit is used as an example throughout the book as it can be easily constructed in the laboratory and numerically modeled. The use of this example allows readers to test the theories presented. The text is carefully balanced between theory and applications to provide an in-depth examination of the concepts behind the complex ideas presented. In the final section, Kapitaniak brings together selected reprinted papers which have had a significant effect on the development of this rapidly growing interdisciplinary field. Controlling Chaos is essential reading for graduates, researchers, and students wishing to be at the forefront of this exciting new branch of science. * Uses easy examples which can be repeated by the reader both experimentally and numerically * The first book to present basic methods of controlling chaos * Includes reprinted papers representing fundamental contributions to the field * Discusses implementation of chaos controlling fundamentals as applied to practical problems