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刘兴波

教授

      

个人资料

  • 部门: 数学科学学院
  • 毕业院校: 华东师范大学
  • 学位: 博士
  • 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.近几年主要关注:

1.分段光滑系统、奇摄动系统动力学分析;

2.反应扩散方程行波解的存在性、稳定性问题;

3.高维动力系统同宿、异宿轨道的存在性及分支问题。

招生与培养

开授课程

科研项目

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两项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(2025-2028)。

学术成果

近三年发表和接收的主要论文


1. Hua, Duo; Liu, Xingbo, Limit cycle bifurcations near nonsmooth homoclinic cycle in discontinuous system, J. Dynam. Differential Equations, 2024, DOI :10.1007/s10884-024-10358-7 (accepted).

2. Zhu, Zirui; Liu, Xingbo, Existence of traveling wave solutions in a singularly perturbed predator-prey equation with spatial diffusion. Discrete Contin. Dyn. Syst-A. 44 (2024), no. 1, 78–115.

3. Zhu, Zirui; Xu, Yancong; Liu, Xingbo; Ruan, Shigui Modeling the p53-Mdm2 dynamics triggered by DNA damage. J. Nonlinear Sci. 34 3(2024).

4. Hua, Duo; Liu, Xingbo,Bifurcations of degenerate homoclinic solutions in discontinuous systems under non-autonomous perturbations. Chaos. 34 (2024), no. 6

5. Hua, Duo; Liu, Xingbo, Computer-assisted analysis of chaos in a three-species food chain model. Stud. Appl. Math. 151(2023), 3, 1166–1191.

6. Li, Zhengkang; Liu, Xingbo, Singular perturbation analysis in a coupled Chua's circuit with diffusion, Chaos, 33 (2023), 10, No.103118, 18 pp.

7. Hua, Duo; Liu, Xingbo, Dynamical analysis in a piecewise smooth predatorprey model with predator harvesting, Int. J. Biomath, 16:6 (2023), 2250118 (22 pages).

8. Li, Zhengkang; Liu, Xingbo, Impact limit cycles in the planar piecewise linear hybrid systems, Commun. Nonlinear Sci. Numer. Simul, 119 (2023), 107074.

9. Zhu, Zirui; Liu, Xingbo Singular perturbation analysis for a Holling-Tanner model with additive Allee effect. Internat. J. Bifur. Chaos. 33 (2023), 12, Paper No. 2350142, 25 pp.

10. Li, Zhengkang; Liu, Xingbo, Homoclinic orbits in three-dimensional continuous piecewise linear generalized Michelson systems, Chaos, 327 (2022), 073128.

11. Li, Zhengkang; Liu, Xingbo, Limit cycles in discontinuous piecewise linear planar Hamiltonian systems without equilibrium points, Internat. J. Bifur. Chaos, 32:10 (2022), 2250153.

12. Zhu, Zirui; Liu, Xingbo Canard cycles and relaxation oscillations in a singularly perturbed Leslie-Gower predator-prey model with Allee effect, Internat. J. Bifur. Chaos, 32:5 (2022), 2250071.


 

 

 

 

荣誉及奖励

10 访问

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