4 papers
Complete solution to the weak persistent center and isochronous center problems of cubic polynomial systems
Feng Li, Huimei Liu, Chen Cao +1
In this paper, we investigate weakly persistent centers for several classes of planar cubic differential systems, including systems with a nondegenerate linear center and systems w…
Bi-center conditions and bifurcation of limit cycles in a class of -equivariant cubic switching systems with two nilpotent points
Ting Chen, Feng Li, Yun Tian +1
In this paper, we generalize the Poincaré-Lyapunov method for systems with linear type centers to study nilpotent centers in switching polynomial systems and use it to investigate…
Center and isochronous center of a class of quasi-analytic switching systems
Feng Li, Pei Yu, Yirong Liu +1
In this paper, we study the integrability and linearization of a class of quadratic quasi-analytic switching systems. We improve an existing method to compute the focus values and…
Analytic integrability of two lopsided systems
Li Feng, Yu Pei, Liu Yirong
In this paper, we present two classes of lopsided systems and discuss their analytic integrability. The analytic integrable conditions are obtained by using the method of inverse i…