3 papers
math.CA2024
On the study of the limit cycles for a class of population models with time-varying factors
Renhao Tian, Jianfeng Huang, Yulin Zhao
In this paper, we study a class of population models with time-varying factors, represented by one-dimensional piecewise smooth autonomous differential equations. We provide severa…
math.CA2016
On the number of limit cycles for a class of discontinuous quadratic differential systems
Xiuli Cen, Shimin Li, Yulin Zhao
The present paper is devoted to the study of the maximum number of limit cycles bifurcated from the periodic orbits of the quadratic isochronous center $\dot{x}=-y+\frac{16}{3}x^{2…
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…