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Controlling chaos : theoretical and practical methods in non- linear dynamics

โœ Scribed by Tomasz Kapitaniak


Publisher
Harcourt Brace
Year
1996
Tongue
English
Leaves
165
Category
Library

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โœฆ Synopsis


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

โœฆ Table of Contents


cover.gif......Page 1
00 - Preface.pdf......Page 2
01 - Acknowledgements.pdf......Page 4
a00 - Introduction.pdf......Page 5
a01 - Controlling chaos through feedback.pdf......Page 9
a02 - Controlling chaos without feedback.pdf......Page 19
a03 - Synchronization of chaos.pdf......Page 33
a04 - Engineering implementations.pdf......Page 57
a05 - Further reading.pdf......Page 66
a06 - References.pdf......Page 73
b00 - Controlling chaos.pdf......Page 77
b01 - Controlling chaotic dynamical systems.pdf......Page 81
b02 - Controlling chaos using time delay coordinates.pdf......Page 101
b03 - Experimental control of chaos.pdf......Page 105
b04 - Controlling transient chaos.pdf......Page 108
b05 - Using chaos to direct trajectories to targets.pdf......Page 114
b06 - Continuous control of chaos by self-controlling feedback.pdf......Page 118
b07 - On the control of complex dynamic systems.pdf......Page 124
b08 - Synchronization in chaotic systems.pdf......Page 142
b09 - Predictable chaos in slightly perturbed unpredictable chaotic systems.pdf......Page 146
b10 - Circuit implementation of synchronized chaos with applications to communications.pdf......Page 153
b11 - Extracting messages masked by chaos.pdf......Page 157
b12 - General approach for chaotic synchronization with applications to communication.pdf......Page 161
02 - Index.pdf......Page 165


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