Limit cycles for a class of three-dimensional polynomial differential systems

作者：Llibre, Jaume^*; Yu, Jiang

来源：Journal of Dynamical and Control Systems, 2007, 13(4): 531-539.

DOI：10.1007/s10883-007-9025-5

• linear center
• limit cycle
• averaging theory
• polynomial differential system

Perturbing the system x = -y(1 x), y = x(l x), z = 0 inside the family of polynomial differential systems of degree n in R-3, we obtain at most n(2) limit cycles using the first-order averaging theory. Moreover, there exist such perturbed systems having at least n(2) limit cycles.

• 出版日期2007-10
• 单位上海交通大学