Regular and Chaotic Dynamics treats chaotic motion in nonlinear dynamical systems. It describes a rapidly growing field with applications throughout science and engineering. The main emphasis of the first edition was on intrinsic stochasticity in Hamiltonian systems. This has been broadened to include a thorough introduction to chaotic motion in dissipative systems in the final two chapters. Our treatment emphasizes physical insight rather than mathematical rigor. We present practical methods for describing the dynamics, for determining transitions from regular to stochastic behavior and routes to chaos, and for characterizing Hamiltonian chaos and dissipative chaotic attractors. We rely heavily on numerical computations to illustrate the methods and to validate them. The book is intended to be used as a self-contained text for physical scientists and engineers who wish to enter the field, as a reference for those researchers familiar with the methods, and as an advanced graduate textbook in dynamics.
CHAPTER 2 - Canonical Perturbation Theory
CHAPTER 3 - Mappings and Linear Stability
CHAPTER 4 - Transition to Global Stochasticity
CHAPTER 5 - Stochastic Motion and Diffusion
CHAPTER 6 - Three or More Degrees of Freedom
CHAPTER 7 - Bifurcation Phenomena and Transition to Chaos in Dissipative Systems
CHAPTER 8 - Chaotic Motion in Dissipative Systems
Regular and Chaotic Dynamics is available through the ASUC Bookstore (510) 642-0770 and Cody's (510) 845-7852.
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