孙宪波

姓名： 孙宪波

职称： 教授

邮箱： xsun@hznu.edu.cn

教学与课程：

课程：常微分方程、概率论与数理统计、动力系统基础、分支理论

研究方向：微分方程与动力系统及应用，弱化Hilbert第十六问题

毕业于Western University，获博士学位；博士生导师；任美国数学评论评论员 (MR106688)；德国数学文摘评论员（19245）；解决了含退化奇点四次超椭圆哈密顿系统Abel积分零点个数精确上界等若干问题。主持国家自然科学基金4项，主持省级自然科学基金项目3项，市级人才项目1项。

主持的国家自然科学基金项目：

1. 三次退化哈密顿系统的多项式扰动问题（12471157），2025.01-2028.12

2. 几类光滑和非光滑扰动Hamiltonian系统的周期环域环性数和Hopf环性数（12001121），2021.01-2023.12

3. 几类扰动可积系统的Abel积分零点个数和分支图及其应用（11861009），2019.01-2022.12

4. 若干平面可积系统扰动分支及其应用（11461001），2015.01-2018.12

部分论文：

[1] Homoclinic bifurcation near a loop tangent to an invariant line, Journal of Differential Equations, 425 (2025) 157-189. (with Y. Tian, M. Han)

[2] Small-amplitude periodic solutions in the polynomial jerk equation of arbitrary degree, Physica D: Nonlinear Phenomena, (2025, accepted) (with Jaume Llibre)

[2] Cyclicity of periodic annulus and Hopf cyclicity in perturbing a hyper-elliptic Hamiltonian system with a degenerate heteroclinic loop, Journal of Differential Equations 269 (2020), 9224-9253. (with P. Yu)

[3] Exact bound on the number of zeros of Abelian integrals for two hyper-elliptic Hamiltonian systems of degree 4, Journal of Differential Equations 267 (2019), 7369-7384. (with P. Yu)

[4] Single peak solitary wave solutions for the CH-KP(2,1) equation under boundary condition , Journal of Differential Equations 259 (2015), 628-641. (with M. Wei, S. Tang)

[5] The monotonicity of ratios of some Abelian integrals, Bulletin Des Sciences Mathematiques 166(2021), 102934. (with N. Wang, P. Yu)

[6] Bounding the number of limit cycles for a polynomial Lienard system by using regular chains, Journal of Symbolic Computation, 79 (2017), 197-210. (with W. Huang)

[7] Parameter Identification on Abelian Integrals to Achieve Chebysheve Proterty, Discrete and Continuous Dynamical System B 26 (2021), 5661-5679. (with . Z. Chen, P. Yu)

[8] Periodic traveling waves in a generalized BBM equation with weak backward diffusion and dissipation terms, Discrete and Continuous Dynamical System B, 24 (2019), 965-987. (with P. Yu)

[9] Coexistence of the solitary and periodic waves in convecting shallow water fluid, Nonlinear Analysis: Real World Application 53 (2020), 103067. (with J. Cai, W. Huang)

[10] 一类扰动超椭圆Hamilton系统的Abel积分零点个数上确界,《中国科学：数学》, 45 (2015), 751-764. (与吴奎霖)