From invariant curves to strange attractors

Qiudong Wang; Lai Sang Young

doi:10.1007/s002200100582

From invariant curves to strange attractors

Qiudong Wang
, Lai Sang Young

Research output: Contribution to journal › Article › peer-review

74 Scopus citations

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)
Pages (from-to)	275-304
Number of pages	30
Journal	Communications in Mathematical Physics
Volume	225
Issue number	2
DOIs	https://doi.org/10.1007/s002200100582
State	Published - 2002

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s002200100582

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title = "From invariant curves to strange attractors",

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.",

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AB - 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.

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JO - Communications in Mathematical Physics

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From invariant curves to strange attractors

Abstract

ASJC Scopus subject areas

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