Geodesic
Limit Cycles of Perturbations of a Class of Quadratic Hamiltonian Vector Fields
Serdica Mathematical Journal, Tome 22 (1996) no. 2, pp. 91-108.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

We prove that in quadratic perturbations of generic Hamiltonian vector fields with two saddle points and one center there can appear at most two limit cycles. This bound is exact.
Keywords: Limit Cycles, Abelian Integrals, Picard-Lefschetz Formula 
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Markov, Yavor. Limit Cycles of Perturbations of a Class of Quadratic Hamiltonian Vector Fields. Serdica Mathematical Journal, Tome 22 (1996) no. 2, pp. 91-108. http://geodesic.mathdoc.fr/item/SMJ2_1996_22_2_a2/