Article ID Journal Published Year Pages File Type
4619375 Journal of Mathematical Analysis and Applications 2010 14 Pages PDF
Abstract

In this paper we first give some general theorems on the limit cycle bifurcation for near-Hamiltonian systems near a double homoclinic loop or a center as a preliminary. Then we use these theorems to study some polynomial Liénard systems with perturbations and give new lower bounds for the maximal number of limit cycles of these systems.

Related Topics
Physical Sciences and Engineering Mathematics Analysis