Controlling chaos : suppression, synchronization and chaotification

Huaguang Zhang, Derong Liu, Zhiliang Wang

Controlling Chaos achieves three goals: the suppression, synchronisation and generation of chaos, each of which is the focus of a separate part of the book. The text deals with the well-known Lorenz, Rossler and Henon attractors and the Chua circuit and with less celebrated novel systems. Modelling of chaos is accomplished using difference equations and ordinary and time-delayed differential equations. The methods directed at controlling chaos benefit from the influence of advanced nonlinear control theory: inverse optimal control is used for stabilization; exact linearization for synchronization; and impulsive control for chaotification. Notably, a fusion of chaos and fuzzy systems theories is employed. Time-delayed systems are also studied. The results presented are general for a broad class of chaotic systems. This monograph is self-contained with introductory material providing a review of the history of chaos control and the necessary mathematical preliminaries for working with dynamical systems.

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[目次]

  • Overview.- Preliminaries of Nonlinear Dynamics and Chaos.- Entrainment and Migration Control of Chaotic Systems.- Feedback Control of Chaotic Systems.- Synchronizing Chaotic Systems Based on Feedback Control.- Synchronizing Chaotic Systems via Impulsive Control.- Synchronization of Chaotic Systems with Time Delay.- Synchronizing Chaotic Systems Based on Fuzzy Models.- Chaotification of Nonchaotic Systems.

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この本の情報

書名 Controlling chaos : suppression, synchronization and chaotification
著作者等 Liu, Derong
Wang Zhiliang
Zhang Huaguang
シリーズ名 Communications and control engineering
出版元 Springer
刊行年月 c2009
ページ数 xix, 344 p.
大きさ 25 cm
ISBN 9781848825222
NCID BA91288175
※クリックでCiNii Booksを表示
言語 英語
出版国 イギリス
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