Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2

作者：Llibre J; Lopes B D; de Moraes J R^*

来源：Applied Mathematics and Computation, 2016, 274: 47-54.

DOI：10.1016/j.amc.2015.10.079

• Polynomial vector field
• Limit cycle
• Averaging method
• Weight-homogeneous differential system

We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of a family of cubic polynomial differential centers when it is perturbed inside the class of all cubic polynomial differential systems. The family considered is the unique family of weight-homogeneous polynomial differential systems of weight-degree 2 with a center. The computations has been done with the help of the algebraic manipulator Mathematica.

• 出版日期2016-2-1
• 单位Univ Estadual Paulista