Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641959 | Journal of Computational and Applied Mathematics | 2008 | 8 Pages |
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
Jinlong Cao,