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Home » Books » Science » Physics » Mechanics » General

Regular and Chaotic Dynamics

Applied Mathematical Sciences

By Allan J. Lichtenberg, M. A. Lieberman

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Format: Paperback, 692 pages, Softcover reprint of Edition
Other Information: XXII, 692 p.
Published In: United States, 01 December 2010
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 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.

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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.

EAN: 9781441931009
ISBN: 1441931007
Publisher: Springer-Verlag New York Inc.
Dimensions: 23.4 x 15.6 x 3.6 centimetres (0.99 kg)
Age Range: 15+ years
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