Perturbations of quadratic Hamiltonian two-saddle cycles
Annales de l'I.H.P. Analyse non linéaire, Volume 32 (2015) no. 2, p. 307-324
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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.

@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},
publisher = {Elsevier},
volume = {32},
number = {2},
year = {2015},
pages = {307-324},
doi = {10.1016/j.anihpc.2013.12.001},
zbl = {06444426},
mrnumber = {3325239},
language = {en},
url = {http://www.numdam.org/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, Volume 32 (2015) no. 2, pp. 307-324. doi : 10.1016/j.anihpc.2013.12.001. http://www.numdam.org/item/AIHPC_2015__32_2_307_0/

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