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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.
Sample Chapter(s)
Chapter 1: Introduction (966 KB)
Contents:
- Theoretical Approach
- Physical Mechanisms
- Applications: Low-Dimensional Systems
- Applications: High-Dimensional Systems
- Further Remarks and Open Problems
Readership: Graduate students and researchers in physics, mathematics, chemistry and biology, as well as electrical, electronic, mechanical systems and control engineering.
