38 citations · 43 across the 9 of their papers we have counts for
9 papers
The necessary and sufficient conditions for the real Jacobian conjecture
Yuzhou Tian, Yulin Zhao
The real Jacobian conjecture claims that if is a polynomial map such that is nowhere zero, then i…
Four limit cycles in a predator-prey system of Leslie type with generalized Holling type III functional response
Yanfei Dai, Yulin Zhao, Bo Sang
This paper, as a complement to the works by Hsu et al [SIAM. J. Appl. Math. 55 (1995)] and Huang et al [J. Differential Equations 257 (2014)], aims to examine the Hopf bifurcation…
Hopf cyclicity and global dynamics for a predator-prey system of Leslie type with simplified Holling type IV functional response
Yanfei Dai, Yulin Zhao
This paper is concerned with a predator-prey model of Leslie type with simplified Holling type IV functional response, provided that it has either a unique non-degenerate positive…
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…
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…
On the cyclicity of the period annulus of quadratic Hamiltonian triangle vector field
Yulin Zhao, Cuihong Yang, Xiuli Cen
This paper is concerned with the cyclicity of the period annulus of quadratic Hamiltonian triangle vector field under quadratic perturbations. This problem has been studied by Ilie…
On the structural stability of planar quasihomogeneous polynomial vector fields
Regilene D. S. Oliveira, Yulin Zhao
Denote by the space of all planar -quasihomogeneous vector fields of degree endowed with the coefficient topology. In this paper we characterize the set $Ω_{pq…
Limit cycles for planar semi-quasi-homogeneous polynomial vector fields
Yulin Zhao
This paper is concerned with the limit cycles for planar semi-quasi-homogeneous polynomial systems. We give some explicit criteria for the nonexistence and existence of periodic or…
On the number of limit cycles in quadratic perturbations of quadratic codimension four centers
Yulin Zhao
This paper is concerned with the bifurcation of limit cycles in general quadratic perturbations of quadratic codimension-four centers . Gavrilov and Iliev set an upper bound o…