Strange Attractors in Periodically-Kicked Limit Cycles and Hopf Bifurcations

Qiudong Wang; Lai Sang Young

doi:10.1007/s00220-003-0902-9

Strange Attractors in Periodically-Kicked Limit Cycles and Hopf Bifurcations

Qiudong Wang, Lai Sang Young

Mathematics

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

Abstract

We prove the emergence of chaotic behavior in the form of horseshoes and strange attractors with SRB measures when certain simple dynamical systems are kicked at periodic time intervals. The settings considered include limit cycles and stationary points undergoing Hopf bifurcations.

Original language	English (US)
Pages (from-to)	509-529
Number of pages	21
Journal	Communications In Mathematical Physics
Volume	240
Issue number	3
DOIs	https://doi.org/10.1007/s00220-003-0902-9
State	Published - Sep 2003

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-003-0902-9

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title = "Strange Attractors in Periodically-Kicked Limit Cycles and Hopf Bifurcations",

abstract = "We prove the emergence of chaotic behavior in the form of horseshoes and strange attractors with SRB measures when certain simple dynamical systems are kicked at periodic time intervals. The settings considered include limit cycles and stationary points undergoing Hopf bifurcations.",

author = "Qiudong Wang and Young, {Lai Sang}",

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Strange Attractors in Periodically-Kicked Limit Cycles and Hopf Bifurcations

Abstract

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