Perturbations of quadratic Hamiltonian two-saddle cycles

Gavrilov, Lubomir; Iliev, Iliya D.

Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015), p. 307-324 / Harvested from Numdam

Résumé

We prove that the number of limit cycles which bifurcate from a two-saddle loop of a planar quadratic Hamiltonian system, under an arbitrary quadratic deformation, is less than or equal to three.

Publié le : 2015-01-01

MR 3325239 | Zbl 06444426

DOI : https://doi.org/10.1016/j.anihpc.2013.12.001

@article{AIHPC_2015__32_2_307_0,
     author = {Gavrilov, Lubomir and Iliev, Iliya D.},
     title = {Perturbations of quadratic Hamiltonian two-saddle cycles},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     volume = {32},
     year = {2015},
     pages = {307-324},
     doi = {10.1016/j.anihpc.2013.12.001},
     mrnumber = {3325239},
     zbl = {06444426},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPC_2015__32_2_307_0}
}

Gavrilov, Lubomir; Iliev, Iliya D. Perturbations of quadratic Hamiltonian two-saddle cycles. Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015) pp. 307-324. doi : 10.1016/j.anihpc.2013.12.001. http://gdmltest.u-ga.fr/item/AIHPC_2015__32_2_307_0/

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