Strange Attractors in Periodically-Kicked Limit Cycles and Hopf Bifurcations

Qiudong Wang, Lai-Sang Young

Research output: Contribution to journalArticle

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
StatePublished - Sep 2003

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Space Shuttle Boosters
SRB Measure
strange attractors
Horseshoe
Strange attractor
Stationary point
Chaotic Behavior
Limit Cycle
Hopf Bifurcation
dynamical systems
Dynamical system
intervals
cycles
Interval
Form

ASJC Scopus subject areas

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

Cite this

Strange Attractors in Periodically-Kicked Limit Cycles and Hopf Bifurcations. / Wang, Qiudong; Young, Lai-Sang.

In: Communications in Mathematical Physics, Vol. 240, No. 3, 09.2003, p. 509-529.

Research output: Contribution to journalArticle

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