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20142026
most citedLimit cycles of planar system defined by the sum of two quasi-homogeneous vecter fields

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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…