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Control of Homoclinic Chaos by Weak Periodic Perturbations
Ricardo Chac¢n
出版World Scientific, 2005
主題Science / Chaotic Behavior in SystemsMathematics / Differential Equations / GeneralScience / Mechanics / Dynamics
ISBN98127035199789812703514
URLhttp://books.google.com.hk/books?id=mepgDQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋This monograph presents a reasonably rigorous theory of a highly relevant chaos control method: suppressionOCoenhancement 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 suppressionOCoenhancement 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 FrenkelOCoKontorova chains; (4) control of chaotic breather dynamics in perturbed sine-Gordon equations; (5) control of chaotic charged particles in electrostatic wave packets."