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math.DS2018
Planar Semi-quasi Homogeneous Polynomial differential systems with a given degree
Yuzhou Tian, Haihua Liang
This paper study the planar semi-quasi homogeneous polynomial differential systems (short for PSQHPDS), which can be regard as a generalization of semi-homogeneous and of quasi-hom…
math.DS2014
Abelian integrals and limit cycles for a class of cubic polynomial vector fields of Lotka-Volterra type with a rational first integral of degree 2
Xiuli Cen, Yulin Zhao, Haihua Liang
In this paper, we study the number of limit cycles which bifurcate from the periodic orbits of cubic polynomial vector fields of Lotka-Volterra type having a rational first integra…