Chaos and Integrability in Nonlinear Dynamics

An Introduction

Michael Tabor (Autor)

Buch | Hardcover

384 Seiten

1989
Wiley-Interscience (Verlag)
978-0-471-82728-3 (ISBN)

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This introduction to chaos and integrability in nonlinear dynamics is specifically designed to form the basis of a broad-based course on nonlinear dynamics. It provides an overview of the subject in an elementary fashion which stresses the diversity of nonlinear phenomena.

Presents the newer field of chaos in nonlinear dynamics as a natural extension of classical mechanics as treated by differential equations. Employs Hamiltonian systems as the link between classical and nonlinear dynamics, emphasizing the concept of integrability. Also discusses nonintegrable dynamics, the fundamental KAM theorem, integrable partial differential equations, and soliton dynamics.

Michael Tabor is the author of Chaos and Integrability in Nonlinear Dynamics: An Introduction, published by Wiley.

The Dynamics of Differential Equations.

Hamiltonian Dynamics.

Classical Perturbation Theory.

Chaos in Hamiltonian Systems and Area-Preserving Mappings.

The Dynamics of Dissipative Systems.

Chaos and Integrability in Semiclassical Mechanics.

Nonlinear Evolution Equations and Solitons.

Analytic Structure of Dynamical Systems.

Index.

Erscheint lt. Verlag	22.2.1989
Sprache	englisch
Maße	163 x 241 mm
Gewicht	615 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Mechanik
ISBN-10	0-471-82728-2 / 0471827282
ISBN-13	978-0-471-82728-3 / 9780471827283
Zustand	Neuware