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REVIEW ARTICLES: General Lectures

Nonlinear Dynamics, Chaos, and Mechanics

[+] Author and Article Information
Philip Holmes

Departments of Theoretical and Applied Mechanics and Mathematics and Center for Applied Mathematics, Cornell University, Ithaca, NY 14853

Appl. Mech. Rev 43(5S), S23-S39 (May 01, 1990) doi:10.1115/1.3120814 History: Online April 30, 2009

Abstract

Nonlinear Dynamics or “Chaos Theory” is an ill-defined but energetic and rapidly developing subject which cuts across the boundaries of traditional disciplines. In this review, I describe a small part of it: some of the analytical approaches to nonlinear differential equations which have been developed in the last ten to fifteen years. I illustrate them with applications in solid and fluid mechanics.

Copyright © 1990 by American Society of Mechanical Engineers
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