Perturbations of quadratic Hamiltonian two-saddle cycles
Dynamical Systems
2013-06-12 v1
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.
Keywords
Cite
@article{arxiv.1306.2340,
title = {Perturbations of quadratic Hamiltonian two-saddle cycles},
author = {Lubomir Gavrilov and Iliya D. Iliev},
journal= {arXiv preprint arXiv:1306.2340},
year = {2013}
}