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周正新

领域:新一代信息技术产业 学校:扬州大学职称:副教授

微分方程定性稳定性理论及其应用,微分方程反射函数理论及其应用研究,微分方程的周期解,Poincare 中心焦点等问题。...

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教育背景

1982年扬州师范学院数学系本科毕业,1998年在白俄罗斯戈梅利大学数学系获博士学位。

工作经历

2019/1-2019/1,Moscow University of Economics and Trade, Russia,合作交流, 2019/1-2019/1,Saint Petersburg University of Finance and Economics, Russia,合作交流, 2016/9-2016/9, Belarusian State University,学术交流, 2015/9-2015/9, Francisk Skorina Gomel State University, Belarus,学术交流, 2013/12-2013/12, Yanka Kupala State University of Grodno, Belarus,学术访问, 2013/9-2013/12, Francisk Skorina Gomel State University, Belarus,学术访问, 2005/7-至今,扬州大学,数学科学学院,教授 1998/10-1998/10, Yanka Kupala State University of Grodno, Belarus,学术访问, 1997/11-1998/12, Francisk Skorina Gomel State University, Belarus,访学, 1982/7-2005/7, 扬州大学,数学系, 助教,讲师,副教授.

项目课题经历

1.国家自然科学基金面上项目, 61773017,基于通信协议复杂网路同步与牵制与控制,2018.01-2021.12,52万,参加,在研.

2.国家自然科学基金面上项目,11571301,种群入侵的扩张准则及边沿特征,2016.06-2019.12,55 万,参加,在研.

3. 江苏省科技厅自然科学研究基金面上项目,BK20161327,复杂系统与简单系统的定性关系及其性态研究,2016.06-2019.06,10万,主持,在研.

4. 国家自然科学基金面上项目, 61374010,基于采样数据的有向复杂网络牵制控制与同步,2014.01-2017.12,60 万,参加,已结项.

5. 国家自然科学基金面上项目,11271026,常微分方程中的几个经典问题, 2013/01-2016/12,56 万,参加, 已结项.

6. 江苏省科技厅自然科学研究基金面上项目,BK2012682,多项式微分系统的的定性性态研究, 2012.06-2015.06,10万,主持,已结项.

7. 国家自然科学基金项目, 11071209, 禽流感等转染病扩散数学模型的研究, 2011.01-2013.12,28万,参加,已结项.

8. 江苏省高校自然科学研究基金面上项目, 08KJB110013, 微分系统解的几何性态研究, 2008.06-2010.06,3万,主持,已结项.

9. 国家自然科学基金项目,10671172,数学生态学中的某些非线性偏微分方程研究, 2008.06-2011.06, 16万,参加,已结项.

10.江苏省高校自然科学研究基金面上项目:非线性微分系统的反射函数与Poincare映射,2002.06-2004.06,2.2万,主持,已结项.

11. 江苏省教委外国专家合作项目:非线性微分系统的反射函数与周期解, 2002.01-2003.01,1万,主持,已结项

12. 江苏省教委回国人员基金项目, 2000.01-2001.10,1万,主持,已结项.

13. 江苏省高校计划指导性项目:非线性振动系统的反射函数, 1999.01-2000.01,0.6万,主持,已结项.

论文、成果、著作等

1. Z. Zhou, The Poincare center-focus problem for a class of higher order polynomial differential systems, Math. Meth. Appl. Sci.,(2019), DOI:10.1002/mma. 5475, 1-15.

2. Z. Zhou, On the center-focus problem for a family of high-order polynomial differential systems, J. Dyn. Differ. Equ., (2019), 1-26

3. Y. Yan, Y. Pan, F. Lu and Z. Zhou, On the integrability and equivalence of the Abel equation and some polynomial equations, J Nonlinear Model. Anal. 1(2), 2019, 207–220

4. Z. Zhou ·Y. Yan, On the composition center of a class of rigid system, Bull Braz Math Soc, New Series 2019, https://doi.org/10.1007/s00574-019-00147-y

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

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

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

8. 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

9. 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

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

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

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

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

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

15. 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.

16. Z. Zhou., A new method for research on the center-focus problem of differential systems . Abstr. Appl Anal., Volume( 2014), Article ID 926538, 5 pages.

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

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

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

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

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

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

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

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

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

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

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

28. 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

29. 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;

30. 周正新, 微分系统的反射函数理论及其应用[M],机械工业出版社, 2014.

专利、著作版权等

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