Strange Attractors in Periodically-kicked Limit Cycles and Hopf Bifurcations

@inproceedings{Wang2003StrangeAI,
  title={Strange Attractors in Periodically-kicked Limit Cycles and Hopf Bifurcations},
  author={Qiudong Wang and Lai-Sang Young},
  year={2003}
}
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. This paper is about a mechanism for producing chaos. The scheme consists of… CONTINUE READING