Physics-Mechanics: Nonlinear dynamics and chaos

Regular and Stochastic Motion

US$5.00 US$41.00

Title (user) : Regular and Stochastic MotionTitle (google) : Regular and chaotic dynamicsISBN : 9780387977454,0387977457DDC : 510 s,531/.32LCC : QA1 .A647 vol. 38 1992,QA867.5 .A647 vol. 38DOI : 10.1007/978-1-4757-4257-2GoogleBook ID : 2ssPAQA...
Description

Title (user) : Regular and Stochastic Motion

Title (google) : Regular and chaotic dynamics

ISBN : 9780387977454,0387977457

DDC : 510 s,531/.32

LCC : QA1 .A647 vol. 38 1992,QA867.5 .A647 vol. 38

DOI : 10.1007/978-1-4757-4257-2

GoogleBook ID : 2ssPAQAAMAAJ

OpenLibrary ID : OL1558887M

Edition : 2nd ed

Series : Applied Mathematical Sciences 38

Authors (user) : A. J. Lichtenberg, M. A. Lieberman (auth.)

Authors (google) : Allan J. Lichtenberg,Michael A. Lieberman

Publisher : Springer New York

Language : English

Publication Date : 1983

Scanned : yes (600 DPI)

File Format : djvu

Categories : Mathematics


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Description (user) :
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.


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Description (google) :
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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Table of contents :
Front Matter....Pages i-xxi
Overview and Basic Concepts....Pages 1-62
Canonical Perturbation Theory....Pages 63-149
Mappings and Linear Stability....Pages 150-212
Transition to Global Stochasticity....Pages 213-258
Stochastic Motion and Diffusion....Pages 259-308
Three or More Degrees of Freedom....Pages 309-379
Dissipative Systems....Pages 380-452
Back Matter....Pages 453-499

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