Strange Attractors in Periodically-Kicked Limit Cycles and Hopf Bifurcations

Qiu-Dong Wang, Lai Sang Young

Research output: Contribution to journalArticle

54 Scopus citations

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 languageEnglish (US)
Pages (from-to)509-529
Number of pages21
JournalCommunications in Mathematical Physics
Volume240
Issue number3
Publication statusPublished - Sep 2003

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ASJC Scopus subject areas

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

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