Article ID Journal Published Year Pages File Type
4641959 Journal of Computational and Applied Mathematics 2008 8 Pages PDF
Abstract

By using the averaging method, we study the limit cycles for a class of quartic polynomial differential systems as well as their global shape in the plane. More specifically, we analyze the global shape of limit cycles bifurcating from a Hopf bifurcation and also from periodic orbits with linear center x˙=-y, y˙=x. The perturbation of these systems is made inside the class of quartic polynomial differential systems without quadratic and cubic terms.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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