Perturbations of quadratic Hamiltonian two-saddle cycles

Gavrilov, Lubomir; Iliev, Iliya D.

doi:10.1016/j.anihpc.2013.12.001

Gavrilov, Lubomir ; Iliev, Iliya D.

Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015) no. 2, pp. 307-324.

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.

MR Zbl

DOI : 10.1016/j.anihpc.2013.12.001

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     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},
     pages = {307--324},
     publisher = {Elsevier},
     volume = {32},
     number = {2},
     year = {2015},
     doi = {10.1016/j.anihpc.2013.12.001},
     mrnumber = {3325239},
     zbl = {06444426},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.anihpc.2013.12.001/}
}

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Gavrilov, Lubomir; Iliev, Iliya D. Perturbations of quadratic Hamiltonian two-saddle cycles. Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015) no. 2, pp. 307-324. doi : 10.1016/j.anihpc.2013.12.001. http://www.numdam.org/articles/10.1016/j.anihpc.2013.12.001/

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