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.
Original language | English (US) |
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Pages (from-to) | 275-304 |
Number of pages | 30 |
Journal | Communications In Mathematical Physics |
Volume | 225 |
Issue number | 2 |
DOIs | |
State | Published - 2002 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics