Chaos and Integrability in Nonlinear Dynamics: An Introduction

by Michael Tabor

Overview

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.

Product Details

ISBN-13:	9780471827283
Publisher:	Wiley
Publication date:	01/18/1989
Pages:	384
Product dimensions:	6.42(w) x 9.49(h) x 0.93(d)

About the Author

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

Table of Contents

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.