Chaos and Integrability in Nonlinear Dynamics: An Introduction

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.

Spis treści:
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.