Regular and chaotic dynamics
著者
書誌事項
Regular and chaotic dynamics
（Applied mathematical sciences, v. 38）
Springer-Verlag, c1992
2nd ed
- : us
- : gw
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注記
"Second revised and expanded edition of "Regular and stochastic motion", which was published in the Applied mathematical sciences series vol. 38 by Springer-Verlag in 1983"--T.p. verso
Includes bibliographical references and indexes
内容説明・目次
- 巻冊次
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: us ISBN 9780387977454
内容説明
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.
目次
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.
- 巻冊次
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: gw ISBN 9783540977452
内容説明
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.
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