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Dynamical Systems and Invariant Manifolds

Holmes, Philip J. and Marsden, Jerrold E. (1980) Dynamical Systems and Invariant Manifolds. In: New Approaches to Nonlinear Problems in Dynamics. Society for Industrial and Applied Mathematics , Philadelphia, Pa., pp. 1-28. ISBN 0898711673

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We review some basic terminology in dynamical systems with the purpose of bridging some of the communication gaps that may exist between mathematicians and engineers at this conference. Recent results on panel flutter and on the existence of horseshoes in the dynamics of a forced beam are briefly sketched to illustrate some of the concepts of interest to both groups.

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Additional Information:© 1980. Notes by Shankar Sastry.
Record Number:CaltechAUTHORS:20100825-082848759
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19652
Deposited By: Ruth Sustaita
Deposited On:14 Sep 2010 17:38
Last Modified:26 Dec 2012 12:21

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