Strange Attractors in Periodically-Kicked Limit Cycles and Hopf Bifurcations

Qiudong Wang, Lai Sang Young

Research output: Contribution to journalArticle

58 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
DOIs
StatePublished - Sep 2003

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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