Centers and limit cycles of a generalized cubic Riccati system

2017/05/31 by Zhou, Zhengxin, Romanovski, Valery G., Yu, Jiang
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1706.00099

Abstract

We obtain condition for existence of a center for a cubic planar differential system, which can be considered as a polynomial subfamily of the generalized Riccati system. We also investigate bifurcations of small limit cycles from the components of the center variety of the system.

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