Bifurcations of Rough Heteroclinic Loop with Two Saddle Points

@inproceedings{Yinlai2003BifurcationsOR,
  title={Bifurcations of Rough Heteroclinic Loop with Two Saddle Points},
  author={JIN Yinlai and ZHU Deming},
  year={2003}
}
  • JIN Yinlai, ZHU Deming
  • Published 2003
The bifurcation problems of rough 2-point-loop are studied for the case ρ1 > λ 1 1, ρ 1 2 < λ 1 2, ρ 1 1ρ 1 2 < λ 1 1λ 1 2, where −ρi < 0 and λi > 0 are the pair of principal eigenvalues of unperturbed system at saddle point pi, i = 1, 2. Under the transversal and nontwisted conditions, the authors obtain some results of the existence of one 1periodic orbit, one 1-periodic and one 1-homoclinic orbit, two 1-periodic orbits and one 2-fold 1-periodic orbit. Moreover, the bifurcation surfaces and… CONTINUE READING

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