Article ID Journal Published Year Pages File Type
4620237 Journal of Mathematical Analysis and Applications 2009 6 Pages PDF
Abstract

The averaging method has been used to study the problem of the determination of the number of hyperbolic limit cycles that can bifurcate from the period annulus of a center. In this paper we use the averaging method up to any order in the perturbation parameter to determine the center conditions of monodromic singular points of analytic planar vector fields.

Related Topics
Physical Sciences and Engineering Mathematics Analysis