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

Mathematics – Dynamical Systems

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revised version : we added an Appendix The paper is an extended version of my talk on the conference "Singularites des champs

Scientific paper

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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