Limit cycles bifurcating from planar polynomial quasi-homogeneous centers

作者：Gine Jaume^*; Grau Maite; Llibre Jaume

来源：Journal of Differential Equations, 2015, 259(12): 7135-7160.

DOI：10.1016/j.jde.2015.08.014

• Quasi-homogeneous polynomial differential equations
• Bifurcation of limit cycles
• Quasi-homogeneous centers

In this paper we find an upper bound for the maximum number of limit cycles bifurcating from the periodic orbits of any planar polynomial quasi-homogeneous center, which can be obtained using first order averaging method. This result improves the upper bounds given in [7].

• 出版日期2015-12-15