孙宪波

姓名： 孙宪波

职称： 教授

邮箱： xsun@hznu.edu.cn

教学与课程：

本科课程：常微分方程、概率论与数理统计

研究生课程：动力系统基础、分支理论

研究方向：微分方程与动力系统，弱化Hilbert第十六问题

学术研究(部分成果)：

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)

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)

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)

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

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)

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

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)

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)

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)

主持的科学项目

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），国家自然科学基金青年基金，主持

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），国家自然科学基金地区基金，主持

若干平面可积系统扰动分支及其应用（11461001），国家自然科学基金地区基金，主持