Unfolding of a quadratic integrable system with two centers and two unbounded heteroclinic loops

@inproceedings{Dumortier1997UnfoldingOA,
  title={Unfolding of a quadratic integrable system with two centers and two unbounded heteroclinic loops},
  author={Freddy Dumortier and Chengzhi Li and Zifen Zhang},
  year={1997}
}
Abstract In this paper we present a complete study of quadratic 3-parameter unfoldings of some integrable system belonging to the class Q R 3 , and having two centers and two unbounded heteroclinic loops. We restrict to unfoldings that are transverse to Q R 3 , obtain a versal bifurcation diagram and all global phase portraits, including the precise number and configuration of the limit cycles. It is proved that 3 is the maximal number of limit cycles surrounding a single focus, and only the (1… CONTINUE READING

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