Chaos and integrability in nonlinear dynamics: an introduction

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Wiley, 1989 - Mathematics - 364 pages
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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.

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Contents

THE DYNAMICS OF DIFFERENTIAL EQUATIONS
1
HAMILTONIAN DYNAMICS
42
CLASSICAL PERTURBATION THEORY
89
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