Controlling Chaos - 1st Edition - ISBN: 9780123968401, 9780080529998

Controlling Chaos

1st Edition

Theoretical and Practical Methods in Non-linear Dynamics

Authors: Tomasz Kapitaniak
Hardcover ISBN: 9780123968401
eBook ISBN: 9780080529998
Imprint: Academic Press
Published Date: 19th July 1996
Page Count: 164
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Institutional Access


Description

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.

Key Features

  • 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

Readership

Postgraduates and research workers in the fields of Aerospace, Civil, Mechanical, and Electrical Engineering, Applied Mathematics, Physics, and Meteorology.

Table of 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.

Details

No. of pages:
164
Language:
English
Copyright:
© Academic Press 1996
Published:
Imprint:
Academic Press
eBook ISBN:
9780080529998
Hardcover ISBN:
9780123968401

About the Author

Tomasz Kapitaniak

Tomasz Kapitaniak is Professor of Mechanics and Head of the Dynamic Department at the Technical University of Lodz, Poland. In addition to his many published books and papers on chaos, Dr. Kapitaniak has lectured at several universities in Europe, North America, Asia and Africa.Kapitaniak was awarded the British Council Award Fellowship in 1989, and the King Abdul Aziz City of Science and Engineering Award Fellowship in 1990. He has been theauthor of numerous publications in the field of chaos dynamics, including three books. Kapitaniak earned his DSc in Theoretical and Applied Mechanics, his MSc in Mechanical Engineering and MSc in Math, and his PhD in Theoretical and Applied Mechanics from the University of Lodz. He has held positions as a Lecturer, Senior Lecturer, as well as Professor and head of the Division of Technology at the University of Lodz. He has also held a position as Visiting Research Professor at the University of Leeds.

Affiliations and Expertise

Technical University of Lodz