RICARDO CHACON (EN) — CONTROL OF HOMOCLINIC CHAOS BY WEAK PERIODIC PERTURBATIONS

CONTROL OF HOMOCLINIC CHAOS BY WEAK PERIODIC PERTURBATIONS краткое содержание

CONTROL OF HOMOCLINIC CHAOS BY WEAK PERIODIC PERTURBATIONS - описание и краткое содержание, автор RICARDO CHACON (EN), читать бесплатно онлайн на сайте электронной библиотеки Lib-King.Ru.

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.Contents:Theoretical ApproachPhysical MechanismsApplications: Low-Dimensional SystemsApplications: High-Dimensional SystemsFurther Remarks and Open ProblemsReadership: Graduate students and researchers in physics, mathematics, chemistry and biology, as well as electrical, electronic, mechanical systems and control engineering.Key Features:Unique and original approach to elliptic functionsNew and revised edition with extra material to reflect recent developmentsAccessible and readable: can be read by non-specialists and by students and scholars who have not studied elliptic functions or explored Ramanujan's work before