Control of homoclinic chaos by weak periodic perturbations /Ricardo Chacón. -Singapore :World Scientific,2005

223 tr. ;24 cm

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

1.Chaotic behavior in systems2.Differentiable dynamical systems3.Nonlinear control theory

515.39CH - R

9789812380425