Control of homoclinic chaos by weak periodic perturbations

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-...

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Hlavní autor: Chacon, Ricardo
Médium: E-kniha Kniha
Jazyk:angličtina
Vydáno: New Jersey World Scientific Publishing Co. Pte. Ltd 2005
World Scientific
World Scientific Publishing Company
WORLD SCIENTIFIC
World Scientific Publishing
Vydání:1
Edice:World Scientific series on nonlinear science. Series A, Monographs and treatises
Témata:
Applied Mathematics
Applied Physics
Chaotic behavior in systems
Differentiable dynamical systems
Electrical & Electronic Engineering (Circuits & Systems, Communications, Control, Computer Engineering)
General Chemistry
Nonlinear control theory
Nonlinear Science, Chaos & Dynamical Systems
SCIENCE
ISBN:9789812380425, 9812380426, 9789812703514, 9812703519
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Popis
Shrnutí: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.
Bibliografie:Includes bibliographical references and index
ISBN:9789812380425
9812380426
9789812703514
9812703519
DOI:10.1142/5001