A quintic polynomial differential system with eleven limit cycles at the infinity

作者：Zhang Qi^*; Liu Yirong

来源：Computers & Mathematics with Applications, 2007, 53(10): 1518-1526.

DOI：10.1016/j.camwa.2006.02.029

• infinity
• quintic system
• singular point quantities
• center conditions
• bifurcation of limit cycles

In this article, a recursion formula for computing the singular point quantities of the infinity in a class of quintic polynomial systems is given. The first eleven singular point quantities are computed with the computer algebra system Mathematica. The conditions for the infinity to be a center are derived as well. Finally, a system that allows the appearance of eleven limit cycles in a small enough neighborhood of the infinity is constructed.

• 出版日期2007-5
• 单位中南大学