Global Bifurcation of a Perturbed Double-Homoclinic Loop*

Abstract

Abstract This paper deals with a kind of fourth degree systems with perturbations. Byusing the method of multi-parameter perturbation theory and qualitative analysis, it isproved that the system can have six limit cycles.

Keywords

Perturbation / Bifurcation / Cubic system / Limit cycle / Hamiltonian system / Homoclinic loop / 34C05 / 34C07

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