Bifurcations of Limit cycles from a quintic Hamiltonian System with a Figure Double-Fish

@article{Qi2013BifurcationsOL,
  title={Bifurcations of Limit cycles from a quintic Hamiltonian System with a Figure Double-Fish},
  author={Minghui Qi and Liqin Zhao},
  journal={I. J. Bifurcation and Chaos},
  year={2013},
  volume={23}
}
where 0 < | | 1, H(x, y), P (x, y) and Q(x, y) are polynomials in x and y. Let J be a maximal open interval (or a union of several maximal open intervals) on which the level set of the real algebraic curves H(x, y) = h for h ∈ J contains an oval denoted by Γh, that is, Γh = {(x, y) |H(x, y) = h contains an oval, h ∈ J}. The family of ovals Γh for h ∈ J is continuous in h. Such a family is called a period annulus (or a union of several period annuli if J is a union of several maximal open… CONTINUE READING

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