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Control Of Homoclinic Chaos By Weak Periodic Perturbations

Control Of Homoclinic Chaos By Weak Periodic Perturbations
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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.

World Scientific Publishing Company; November 2005
238 pages; ISBN 9789812703514
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ISBNs
9789812380425
9789812703514
9812703519