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刘兴波

数学科学学院      

导航

  • 个人资料
  • 研究方向
  • 招生与培养
  • 开授课程
  • 科研项目
  • 学术成果
  • 荣誉及奖励

个人资料

  • 部门： 数学科学学院
  • 毕业院校：
  • 学位：
  • 学历：
  • 邮编：
  • 联系电话：
  • 传真：
  • 电子邮箱： xbliu@math.ecnu.edu.cn
  • 办公地址： 闵行校区统计楼215
  • 通讯地址： 上海市东川路500号华东师范大学数学系，邮编：200241

教育经历

工作经历

个人简介

社会兼职

研究方向

微分方程定性理论、分支与混沌以及在生物数学等方面的应用

招生与培养

开授课程

科研项目

学术成果

项目：参与完成三项国家自然科学基金资助项目‚ 参与完成一项国际合作交流项目，主持完成青年科学基金项目和国家自然科学基金面上项目‚主持一项国家自然科学基金面上项目（2019-2022）。

近几年主要论文：

1、 刘兴波、韩茂安. 一类两点异宿环的扰动分支‚数学年刊‚2000‚21(6)‚667-674.
2、 金银来、李先义、刘兴波. 非扭曲退化同宿分支‚数学年刊‚ 2001‚ 22（4）‚473-478.
3、 Liu X. B.‚ Zhu D.M.‚   Some topological properties of endomorphisms of the unit circle.   Ann. of. Diff .Eqs. 2003‚ 19(3)‚368-370 .
4、 Han. M .A‚ Hu .S. C.‚ Liu .X. B.‚   On stability of double homoclinic and heteroclinic cycles‚   Nonlinear analysis‚ 2003‚ 53‚701-703.
5、 刘兴波‚ 朱德明.   同宿流形中的奇异轨道‚ 高校应用数学学报‚ 2003‚ 18 (2)‚
6、 刘兴波‚ 朱德明.   奇摄动下的共振不变环面分支‚ 数学年刊‚ 2004 (5)‚637-644.
7、 刘兴波. 非线性方程极限环的存在唯一性. 华东师范大学学报‚ 2004 (3)‚1-5.
8、 刘兴波‚ 朱德明.   伴随超临界分支的非通有同宿轨道分支‚ 高校应用数学学报‚‚2004‚ 19 (4)‚401-408 .
9、 刘兴波‚ 朱德明.   伴随超临界分支的通有同宿轨道分支. 数学学报‚ 2004 (5)‚957-964.

10、刘兴波、朱德明.   快变振荡下的同宿轨道分支‚数学物理学报‚2005（6）。 

11、Fu X .L.‚ Liu X.B‚ Existence of solutions for neutral non-autonomous evolution equations with nonlocal conditions‚ Indian J.pure appl.Math‚2006‚37(3)‚179-192.

12、 Fu X .L.‚ Liu X.B‚ Existence of Periodic Solutions for Abstract Neutral Non-autonomous Equations with Infinite Delay. J.Math.Anal.Appl‚ 325‚2007‚249-267。
13、Liu X.B.‚ Fu X.L.‚ Zhu D.M.‚ Bifurcation of homoclinic orbits with saddle-center equilibrium.‚ Chin. Ann. Math. Ser. B‚ 28 (2007)‚ no. 1‚81--92.
14、Liu X .B.‚ Fu X.L.‚ Zhu D.M.‚homoclinic bifurcation with nonhyperbolic equilibria‚ Nonlinear analysis‚Theory‚ Methods & Applications‚ 66‚ Issue 12‚ 2653-2982‚ 2007.

15. Liu X.B.‚Zhu D.M‚ Bifurcation of degenerate homoclinic orbits to saddle-center in reversible systems‚ Chin. Ann. Math. Ser B‚ 29(6)‚ 2008‚ 575-584.

16. Liu Xingbo, Exponential trichotomy and homoclinic bifurcation with saddle-center equilibrium, Appl.Math.Lett, 23, 409-416, 2010.

17. 乔志琴，刘兴波， 朱德明，具有三重零奇异的时滞微分方程的分支，数学年刊A,31(1), 59-70, 2010.

18. Liu Xingbo, Homoclinic Flip Bifurcations Accompanied by Transcritical Bifurcation, Chinese Annals of Mathematics, Series B, 32(6), 905-916, 2011.

19．Xu， Yancong; Zhu, Deming; Liu, Xingbo，Bifurcations of Multiple Homoclinics in General Dynamical Systems, Discrete and Continuous Dynamical Systems A, 30(3), 945-963, 2011.

20. Liu, Xingbo; Wang, Zhenzhen; Zhu, Deming, Bifurcation of rough heteroclinic loop with orbit flips,Inter. J. Bifurcation and Chaos, 22 (11), 1250278-1 - 1250278-17, 2012.

21.Liu, Xingbo; Shi, Lina; Zhang, Dongmei, Homoclinic flip bifurcation with a nonhyperbolic equilibrium, Nonlinear Dynamics, 69，655-665，2012.

22. Liu, Xingbo; Zhu, Deming, On the stability of homoclinic loop with higher dimension, Discrete and Continuous Dynamical Systems B, 17(3), 915-932, 2012.

23. Liu, Xingbo; Yang, Lijuan, Stability analysis of an SEIQV epidemic model with saturated incidence rate, Nonlinear Analysis: Real World Applications, 13 (2012), 2671–2679.

24. 刘兴波,具有轨道翻转和倾斜翻转的退化异维环分支 ,中国科学，数学，11 （2013）, 1113-1129.

25. Liu Xingbo, Liu Junying and Zhu Deming,Degenerate bifurcations of heterodimensional cycles with orbit flip ,International Journal of Bifurcation and Chaos, 5 (2013). 

26. Liu Xingbo, Bifurcations near the weak type heterodimensional cycle , International Journal of Bifurcation and Chaos , 9 (2014) 1450112.

27. Liu Xingbo, Xu,Yancong, Wang, Sisi, Heterodimensional cycle bifurcation with two orbit flips, Nonlinear Dynamics, 79 (2015), 2787-2804.

28.Liu Xingbo, Generic unfolding of a degenerate heterodimensional cycle, Nonlinear Dynamics, 89：2(2017), 833–850.

29. Liu Xingbo, Lin Xiaobiao, Bai Yuzhen, Zhu Deming, Loop Numbers for the Stability of Homoclinic Loops of Planar Vector Fields. International Journal of Bifurcation and Chaos, 28:8 (2018) 1850101 (12 pages)
30. Liu Xingbo, Dynamics near the heterodimensional cycles with nonhyperbolic equilibrium. International Journal of Bifurcation and Chaos, 28：1(2018),1850003(14 pages).
31. Fengjie Geng, Ting Wang，Xingbo Liu*，Global bifurcations near a degenerate heterodimensional cycle. Journal of Applied Analysis and Computation, 8：1(2018), 123-151.
32. Yancong Xu, Xingbo Liu*, Analysis of a Shil'nikov type homoclinic bifurcation. Acta Mathematica Sinica, English Series, 34: 5(2018), 901–910
343 Liu Xingbo*, Wang Xiaofei, Wang Ting, Nongeneric Bifurcations Near a Nontransversal Heterodimensional Cycle. Chinese Annals of Mathematics, Series B, 39：1(2018),111-128.

34. Fengjie Geng, Xiao-Biao Lin, Xingbo Liu#, Chaotic Traveling Wave Solutions in Coupled Chua’s Circuits. Journal of Dynamics and Differential Equations (published online) (2019)，3
http://link.springer.com/article/10.1007/s10884-017-9631-1.

 

 

 

 

荣誉及奖励

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