Control of homoclinic chaos by weak periodic perturbations
Author(s)
Bibliographic Information
Control of homoclinic chaos by weak periodic perturbations
(World Scientific series on nonlinear science / editor, Leon O. Chua, series A ; v. 55)
World Scientific, c2005
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This monograph presents a reasonably rigorous theory of a highly relevant chaos control method: suppression-enhancement of chaos by weak periodic excitations in low-dimensional, dissipative and non-autonomous systems. The theory provides analytical estimates of the ranges of parameters of the chaos-controlling excitation for suppression-enhancement of the initial chaos.The important applications of the theory presented in the book include: (1) control of chaotic escape from a potential well; (2) suppression of chaos in a driven Josephson junction; (3) control of chaotic solitons in Frenkel-Kontorova chains; (4) control of chaotic breather dynamics in perturbed sine-Gordon equations; (5) control of chaotic charged particles in electrostatic wave packets.
Table of Contents
- Theoretical Approach
- Nature of Regularized Dynamics
- Robustness of the Theoretical Approach
- Applications
- Further Remarks and Open Problems.
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