A cubic system with thirteen limit cycles

作者：Li Chengzhi; Liu Changjian; Yang Jiazhong^*

来源：Journal of Differential Equations, 2009, 246(9): 3609-3619.

DOI：10.1016/j.jde.2009.01.038

• Cubic system
• Limit cycles
• Abelian integral
• Hilbert's 16th problem

We construct a planar cubic system and demonstrate that it has at least 13 limit cycles. The construction is essentially based on Counting the number of zeros of some Abelian integrals.

• 出版日期2009-5-1
• 单位苏州大学; 北京大学; 宿州学院