On the number of limit cycles which appear by perturbation of Hamiltonian two-saddle cycles of planar vector fields

Lubomir Gavrilov

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arXiv · 0906.4363

On the number of limit cycles which appear by perturbation of Hamiltonian two-saddle cycles of planar vector fields

Lubomir Gavrilov

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Abstract

We find an upper bound to the maximal number of limit cycles, which bifurcate from a hamiltonian two-saddle loop of an analytic vector field, under an analytic deformation.

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Lubomir Gavrilov. 2009-06-23. On the number of limit cycles which appear by perturbation of Hamiltonian two-saddle cycles of planar vector fields. https://arxiv.org/abs/0906.4363

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