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Regular and Chaotic Dynamics

This book treats nonlinear dynamics in both Hamiltonian and dissipative systems. The emphasis is on the mechanics for generating chaotic motion, methods of calculating the transitions from regular to chaotic motion, and the dynamical and statistical properties of the dynamics when it is chaotic. The book is intended as a self consistent treatment of the subject at the graduate level and as a reference for scientists already working in the field. It emphasizes both methods of calculation and results. It is accessible to physicists and engineers without training in modern mathematics. The new edition brings the subject matter in a rapidly expanding field up to date, and has greatly expanded the treatment of dissipative dynamics to include most important subjects. It can be used as a graduate text for a two semester course covering both Hamiltonian and dissipative dynamics.
Product Details

Table of Contents

1 Overview and Basic Concepts.- 2 Canonical Perturbation Theory.- 3 Mappings and Linear Stability.- 4 Transition to Global Stochasticity.- 5 Stochastic Motion and Diffusion.- 6 Three or More Degrees of Freedom.- 7 Bifurcation Phenomena and Transition to Chaos in Dissipative Systems.- 8 Chaotic Motion in Dissipative Systems.- Appendix A.- Applications.- A.1. Planetary Motion.- A.2. Accelerators and Beams.- A.3. Charged Particle Confinement.- A.4. Charged Particle Heating.- A.5. Chemical Dynamics.- A.6. Quantum Systems.- Author Index.

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