Communications in Mathematical Physics

, Volume 240, Issue 3, pp 509–529 | Cite as

Strange Attractors in Periodically-Kicked Limit Cycles and Hopf Bifurcations



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.


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© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Dept. of Math.University of ArizonaTucsonUSA
  2. 2.Courant Institute of Mathematical SciencesNew YorkUSA

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