Dr.  Zhou Zhengxin

 Professor of Mathematics

Research Interests

The qualitative theory of differential equations and its application. The stability theory of differential equations and its application. The theory of reflecting function and its applications. Periodic solutions and Poincare center-focus problem.

Working Experience

Degree: Ph.D. in Mathematics, 1998,

Department of mathematics, University of Gomel, Belarus

Visited the Gomel University of Belarus (1997, 2013, 2015), the Grodno University of Belarus (1997, 2013), the University of Belarus (1998, 2016), the St. Petersburg University of Finance and Economics of Russia (2018), the Moscow University of Economics and Trade of Russia (2018).

Teaching

Ordinary differential equation, Mathematical Physical Equations,  Higher Mathematics, Geometric theory and bifurcation problems of differential equations, Stability Theory of Differential Equations and its Applications, Reflection Function Theory of Differential Equations and its Applications

Research Projects

2016/06-2019/06， NSF of Jiangsu (BK20161327)

2012/06-2015/06，NSF of Jiangsu (BK2012682）

2018/06-2022/06,  NSF of China（61773017）(partner)

2015/06-2019/06,  NSF of China（11571301）(partner)

2012/06-2016/06,  NSF of China（11271026）(partner)

Publications

1.          Z. Zhou , Y. Yan, On the equivalence of two differential equations by means of reflecting functions coinciding,  J. Appl. Anla. Comput.  8(2), 2018,  550–558

2.          Z. Zhou, Romanovski V. G. The center problem and the composition condition for a family of quartic differential systems， Electr. J. Qual. Theo. Differ.. Equ. 2018, No. XX, 1–17;

3.          Z. Zhou, On the Structure of the Equivalent Differential Systems and their Reflecting Integrals,  Bull Braz Math Soc, N. S.,  48(2017), 439-447.

4.           Z. Zhou , F. Mao and X. Yan,  Research on the Poincaré center-focus problem of some cubic differential systems by using a new method, Adv. Differ.Equ.  (2017) 52 DOI 10.1186/s13662-017-1107-4

5.          Z. Zhou On the reflecting function and the qualitative behaviors of solutions of some non-autonomous differential equations, J Appl. Anal Comput. 7, (2) 2017, 523-531

6.          Z. Zhou, On the equivalence and qualitative behavior of the rational differential equations ,  Filomat 31（14）(2017), 4379–4391 .

7.          Z. Zhou, L. Xie, On a generalization of the Liouville formula, Differ. Equ.Appl.,  (2)9 (2017), 213–217.

8.          Z. Zhou, On the first integral and equivalence of nonlinear differential equations ，Appl. Math. Comput.,   268(2015), 205-302.

9.          Z.  Zhou,  On the symmetry and periodicity of solutions of differential systems. Nonlinear Anal. Real World Appl. 17 (2014), 64–70.  

10.       Z.  Zhou , Subharmonic solutions of Hill’s equation, Appl. Math. Comput. 253 (2015) 17–22

11.       X.  Li;  Z. Zhou, Hopf bifurcation of codimension one and dynamical simulation for a 3D autonomous chaotic system. Bull. Korean Math. Soc. 51 (2014), no. 2, 457–478. 5.

12.       Z.  Zhou; R. Tai, F. Wang, S. Zong, On the equivalence of differential equations. J. Appl. Anal. Comput. 4 (2014), no. 1, 103–114.

13.       Z. Zhou,  Research on the properties of some planar polynomial differential equations. Appl. Math. Comput. 218 (2012), no. 9, 5671–5681. 

14.       Z.  Zhou,  On the relationship between quadratic polynomial differential system and the Bernoulli equation. Appl. Math. Comput. 217 (2011), no. 21, 8716–8721. 

15.       Z.  Zhou,  The reflective function represented by three exponential matrixes. Bull. Korean Math. Soc. 47 (2010), no. 1, 53–61

16.       Z.  Zhou,  The structure of reflective function of polynomial differential systems. Nonlinear Anal. 71 (2009), no. 1-2, 391–398.

17.       Z.  Zhou,  Existence of periodic solutions of differential systems with small parameters. J. Appl. Math. Comput. 27 (2008), no. 1-2, 85–95. 

18.       Z.  Zhou,  On the Poincaré mapping and periodic solutions of nonautonomous differential systems. Commun. Pure Appl. Anal. 6 (2007), no. 2, 541–547.

19.       Z.  Zhou,  Reflecting functions and periodic solutions of nonlinear systems. Appl. Math. Lett. 17 (2004), no. 10, 1121–1125. 

20.       Z.  Zhou,  Periodic solution and reflective function of higher-dimensional differential systems. J. Math. Anal. Appl. 292 (2004), no. 2, 517–524.

21.       Z.  Zhou; Yan, Yuexin The nonlinear reflective function of differential system. Nonlinear Anal. 53 (2003), no. 6, 733–741

22.       Zhou, Zhengxin On the reflective function of polynomial differential system. J. Math. Anal. Appl. 278 (2003), no. 1, 18–26

23.       Chzhou, Chzhinʹsinʹ Bounded and periodic solutions of nonlinear differential systems. (Russian) Differ. Uravn. 37 (2001), no. 9, 1289--1291, 1296; translation in Differ. Equ. 37 (2001), no. 9, 1359–1362

24.       J. Wang, D. He, Z. Zhou, Dissonant structures of multiple devil’s staircases in one-dimensional discontinuous maps，Physics Lett. A, 2002, 293,  151-153;

25.    Z. Zheng Theory of reflecting function and its applications, Machinery Industry Press， 2014.

Address

Siwang ting road 180, Yangzhou, Jiangsu, China, 225002

Email: zxzhou@yzu.edu.cn