Chaos and Integrability in Nonlinear Dynamics

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.

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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.