Perturbations of quadratic Hamiltonian two-saddle cycles
Lubomir Gavrilov
Institut de Mathématiques de Toulouse, UMR 5219, Université de Toulouse, CNRS, UPS IMT,F-31062 Toulouse Cedex 9, FranceIliya D. Iliev
Institute of Mathematics, Bulgarian Academy of Sciences, Bl. 8, 1113 Sofia, Bulgaria
![Perturbations of quadratic Hamiltonian two-saddle cycles cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-aihpc-volume-32-issue-2.png&w=3840&q=90)
Abstract
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.
Cite this article
Lubomir Gavrilov, Iliya D. Iliev, Perturbations of quadratic Hamiltonian two-saddle cycles. Ann. Inst. H. Poincaré Anal. Non Linéaire 32 (2015), no. 2, pp. 307–324
DOI 10.1016/J.ANIHPC.2013.12.001