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math.DS2017★ 1 cited
Centers and limit cycles of a generalized cubic Riccati system
Zhengxin Zhou, Valery G. Romanovski, Jiang Yu
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 i…
math.DS2017
Invariant algebraic surfaces of the FitzHugh-Nagumo system
Liwei Zhang, Jiang Yu
In this paper, we characterize all the irreducible Darboux polynomials and polynomial first integrals of FitzHugh-Nagumo (F-N) system. The method of the weight homogeneous polynomi…