Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Uniqueness of limit cycles for a class of cubic system with an invariant straight line

- Xiangdong Xie, Qingyi Zhan
- Mathematics
- 15 June 2009

Abstract A class of cubic system with an invariant straight line as given in an equation is studied. It is proved that this system has at most, one limit cycle surrounding a weak focal O ( 0 , 0 ) ,… Expand

Mean-square numerical approximations to random periodic solutions of stochastic differential equations

- Qingyi Zhan
- Mathematics
- 17 September 2015

This paper is devoted to the possibility of mean-square numerical approximations to random periodic solutions of dissipative stochastic differential equations. The existence and expression of random… Expand

Shadowing orbits of a class of random differential equations

- Qingyi Zhan
- Mathematics
- 1 February 2019

Abstract This article focuses on the existence of a true solution near a numerical approximate solution of random differential equations which can generate random dynamical systems. We prove a… Expand

Stochastic shadowing analysis of a class of stochastic differential equations

- Qingyi Zhan, Yuhong Li
- Mathematics
- 31 October 2017

This paper is devoted to the feasibility of stochastic shadowing of a class of stochastic differential equations via numerical analysis tools. A general shadowing theorem of stochastic differential… Expand

Numerical study on (ω, Lδ)-Lipschitz shadowing of stochastic differential equations

- Qingyi Zhan, Zhifang Zhang, Xiangdong Xie
- Mathematics, Computer Science
- Appl. Math. Comput.
- 1 July 2020

TLDR

Stability Results for a Class of Differential Equation and Application in Medicine

- Qingyi Zhan, Xiangdong Xie, Zhifang Zhang
- Mathematics
- 14 June 2009

A Chemostat system incorporating hepatocellular carcinomas
is discussed. The model generalizes the classical Chemostat model, and it assumes that the Chemostat is an increasing function of the… Expand

Numerical Study on Stochastic Diabetes Mellitus Model with Additive Noise

- Zhifang Zhang, Qingyi Zhan, Xiangdong Xie
- Mathematics, Medicine
- Comput. Math. Methods Medicine
- 10 June 2019

TLDR

Symplectic Euler scheme for Hamiltonian stochastic differential equations driven by Levy noise

- Qingyi Zhan, Jinqiao Duan, Xiaofan Li
- Computer Science, Mathematics
- ArXiv
- 28 June 2020

TLDR

Dynamical analysis in explicit continuous iteration algorithm and its applications

- Qingyi Zhan, Zhifang Zhang, Xiangdong Xie
- Mathematics
- 1 December 2018

This article is devoted to the dynamical analysis of an explicit continuous iteration algorithm, describing its construction, relationship with the explicit trapezoid method, and error analysis. A… Expand

Hopf bifurcation and uniqueness of limit cycle for a class of quartic system

- Qingyi Zhan, Xiangdong Xie, Cheng-Qiang Wu, S. Qiu
- Mathematics
- 1 December 2007

AbstractThis paper studies a class of quartic system which is more general and realistic than the quartic accompanying system. *
$$x' = - y + ex + lx^2 + mxy + ny^2 , y' = x(1 - Ay)(1 + Cy^2 ),$$
… Expand

...

1

2

...