Regular & Chaotic Dynamics

Hardcover
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Author: Allan J. Lichtenberg

ISBN-10: 0387977457

ISBN-13: 9780387977454

Category: Mathematical Equations - Differential

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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. Booknews Text-reference for physical scientists and engineers as well as advanced graduate students treats chaotic motion in nonlinear dynamical systems. The main emphasis of the first edition of 1983 (titled Regular and stochastic motion) 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. The treatment emphasizes physical insight rather than mathematical rigor. Annotation c. Book News, Inc., Portland, OR (booknews.com)