Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
---|---|---|---|---|---|
Searching... | 30000010241793 | Q172.5 .C45 Z52 2009 | Open Access Book | Gift Book | Searching... |
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Summary
Summary
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, Rössler and Hénon 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.
Table of Contents
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 |
Synchronizaton of Chaotic Systems with Time-delay |
Synchronizing Chaotic Systems Based on Fuzzy Models |
Chaotification of Nonchaotic Systems |