| Description |
1 online resource (viii, 164 pages, 2 pages of plates) : illustrations (2 color) |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Summary |
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. |
| Contents |
Part I: 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. Ditto, S.W. Rausco, and M.L. Spano, Experimental Control of Chaos. T. Tel, Controlling Transient Chaos. T. Shinbrot, E. Ott, C. Grebogi, and Y.A. Yorke, Using Chaos to DirectTrajectories to Targets. K. Pyragas, Continuous Control of Chaos by Self-Controlling Feedback. E.A. Jackson, On the Control of Complex Dynamic Systems. L.M. Pecora and T.L. Carroll, Synchronization in Chaotic Systems. K. Pyragas, Predictable Chaos in Slightly Perturbed Unpredictable Chaotic Systems. K.M. Cuomo, and A.V. Oppenheim, Circuit Implementation of Synchronized Chaos with Applications to Communications. G. Perez and H.A. Cerdeira, Extracting Messages Masked by Chaos. K. Kocarev, and U. Parlitz, General Approach for Chaotic Synchronization with Applications to Communication. Index. Color Plate Section. |
| Bibliography |
Includes bibliographical references (pages 71-74) and index. |
| Contents |
General outlook -- Selected reprints. |
| Note |
Print version record. |
| Subject |
Chaotic behavior in systems.
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Nonlinear theories.
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Dynamics.
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Chaos.
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Théories non linéaires.
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Dynamique.
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kinetics (dynamics)
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Chaotic behavior in systems
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Dynamics
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Nonlinear theories
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| Added Title |
Non-linear dynamics |
| Other Form: |
Print version: Kapitaniak, Tomasz. Controlling chaos. London ; San Diego : Harcourt Brace, ©1996 0123968402 9780123968401 (OCoLC)35587517 |
| ISBN |
9780123968401 |
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0123968402 |
| Standard No. |
AU@ 000060851186 |
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CHNEW 001006417 |
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DEBBG BV039830961 |
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DEBBG BV042315823 |
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DEBSZ 405308183 |
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NZ1 12433373 |
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NZ1 15191177 |
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