Article ID Journal Published Year Pages File Type
4631753 Applied Mathematics and Computation 2010 13 Pages PDF
Abstract

In this paper we study the number of limit cycles of a near-Hamiltonian system under Z4-equivariant quintic perturbations. Using the methods of Hopf and heteroclinic bifurcation theory, we found that the perturbed system can have 13 limit cycles.

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Physical Sciences and Engineering Mathematics Applied Mathematics
Preview
On the number of limit cycles of a Z4-equivariant quintic polynomial system
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