个人资料
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 predator–prey 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, 32:7 (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.
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