Limit cycle bifurcations near a 2-polycycle or double 2-polycycle of planar systems

作者：Yang, Junmin; Xiong, Yanqin; Han, Maoan^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2014, 95: 756-773.

DOI：10.1016/j.na.2013.10.019

• Alien limit cycle
• Stability
• 2-polycycle
• Homoclinic loop
• Heteroclinic loop

In this paper, we study the bifurcation problem of limit cycles for a near-Hamiltonian system near a 2-polycycle or double 2-polycycle. We obtain new results on the number of limit cycles by using the method of stability-changing of a homoclinic loop. This method also provides a new way to find alien limit cycles. Especially, we found some alien limit cycles of new type.

• 出版日期2014-1
• 单位河北师范大学; 上海师范大学