From invariant curves to strange attractors

Qiudong Wang, Lai-Sang Young

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)275-304
Number of pages30
JournalCommunications in Mathematical Physics
Volume225
Issue number2
DOIs
StatePublished - 2002

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Second Order ODE
Invariant Curves
strange attractors
Periodic Forcing
Strange attractor
Global Attractor
Dynamical Behavior
Mechanical Systems
curves
Class

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

From invariant curves to strange attractors. / Wang, Qiudong; Young, Lai-Sang.

In: Communications in Mathematical Physics, Vol. 225, No. 2, 2002, p. 275-304.

Research output: Contribution to journalArticle

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