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| CONTROLLING CHAOS
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Theoretical and Practical Methods in Non-linear Dynamics
To order this title, and for more information, click here
By
Tomasz Kapitaniak, Technical University of Lodz
Description
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.
Audience
Postgraduates and research workers in the fields of Aerospace, Civil, Mechanical, and Electrical Engineering, Applied Mathematics, Physics, and Meteorology.
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 byChaos. K. Kocarev, and U. Parlitz, General Approach for Chaotic
Synchronization with Applications to Communication.
Index.
Color Plate Section.
| Bibliographic details |
Hardbound, 164 pages, publication date: JUL-1996
ISBN-13: 978-0-12-396840-1
ISBN-10: 0-12-396840-2
Imprint: ACADEMIC PRESS
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| Price and Ordering |
Price:
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USD 112
GBP 71
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Last update: 4 Sep 2009
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