, Volume 225, Issue 2, pp 275-304

From Invariant Curves to Strange Attractors

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Abstract:

We prove that simple mechanical systems, when subjected to external periodic forcing, can exhibit a surprisingly rich array of dynamical behaviors as parameters are varied. In particular, the existence of global strange attractors with fully stochastic properties is proved for a class of second order ODEs.

Received: 10 January 2001 / Accepted: 10 July 2001