Limit cycles for a class of polynomial differential systems

作者：Qiao, Jianyuan; Shui, Shuliang^*

来源：Electronic Journal of Qualitative Theory of Differential Equations, 2016, (9): 1-9.

DOI：10.14232/ejqtde.2016.1.9

• limit cycles
• polynomial differential systems
• averaging theory
• (p,q)-trigonometric functions

In this paper, we consider the limit cycles of a class of polynomial differential systems of the form (x) over dot = y(2p-1), (y) over dot = x(2mp-1) + epsilon(px(2mp) + qy(2p)) (g(x, y) - A), where g (x, y) is a polynomial. We obtain the maximum number of limit cycles that bifurcate from the periodic orbits of a center using the averaging theory of first order.

• 出版日期2016
• 单位浙江师范大学