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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.
“This is a very interesting book with many nice examples of controlling chaos by means of analytical as well as numerical methods. It is well written, so it is suitable for and recommended to anyone who is interested in chaos and its control in nonlinear dynamical systems.”
Mathematical Reviews
Sample Chapter(s)
Chapter 1: Introduction (966k)
