Perturbations of quadratic Hamiltonian two-saddle cycles

2013/06/10 by Lubomir Gavrilov, Gavrilov, Lubomir, Iliya D. Iliev +1
Mathematics · #34C07 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:34C07

paper · pdf · doi:10.48550/arxiv.1306.2340

arxiv created 2013/06/10 · arxiv updated 2013/06/12

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.

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