Abelian Integrals of Quadratic Hamiltonian Vector Fields with an Invariant Straight Line*

نویسندگان

  • Chengzhi Li
  • Jaume Llibre
  • Zhifen Zhang
  • C. Li
  • J. Llibre
  • Z. Zhang
چکیده

We prove that the lowest upper bound for the number of isolated zeros of the Abelian integrals associated to quadratic Hamiltonian vector fields having a center and an invariant straight line after quadratic perturbations is one.

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تاریخ انتشار 2000