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arXiv:1306.2340 [math.DS]AbstractReferencesReviewsResources

Perturbations of quadratic Hamiltonian two-saddle cycles

Lubomir Gavrilov, Iliya D. Iliev

Published 2013-06-10Version 1

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.

Categories: math.DS
Subjects: 34C07
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