Limit cycle bifurcations of some Lienard systems

作者：Yang, Junmin; Han, Maoan^*; Romanovski, Valery G.

来源：Journal of Mathematical Analysis and Applications, 2010, 366(1): 242-255.

DOI：10.1016/j.jmaa.2009.12.035

• Double homoclinic loop
• Limit cycle
• Bifurcation
• Polynomial system

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 Lienard systems with perturbations and give new lower bounds for the maximal number of limit cycles of these systems.

• 出版日期2010-6-1
• 单位上海师范大学