何智敏教授
自我介绍
何 智敏,男,教授,1999年7月毕业于北京理工大学应用数学系,获博士学位;1999年12月—2001年12月,在湖南大学数学与计量经济学院数学博士 后流动站从事博士后研究工作。主要研究领域为:非线性动力系统中的分岔与混沌、随机与脉冲动力系统、时标动态方程、分数阶微分方程,在国内外核心期刊上发 表论文四十余篇,现为美国《Mathematical Reviews》评论员。
电子邮箱
hezhimin@csu.edu.cn
研究方向
非线性动力系统中的分岔与混沌;随机与脉冲动力系统;时标动态方程;分数阶微分方程
主讲课程
本科生:常微分方程,最优控制理论;研究生:非线性动力系统与混沌,离散动力系统几何理论,分数阶微分方程
在研项目
完成项目
1. 数学天元基金项目: 随机脉冲微分方程基本理论的研究(A0324621);
2. 时滞反应扩散方程动力性态的研究(国家自然科学基金)(参加),2005年-2007 年;
3. 时滞微分方程最小周期解及其相关问题研究(国家自然科学基金)(参加),2008年-2010 年.
获奖情况
2010年湖南省自然科学一等奖:非线性泛函微分方程理论及应用(第三完成人)
发表论文
近期已发表论文代表作:
(45) Chen Huiwen, He Zhimin, Existence and multiplicity results for the nonlinear Schrodinger-Maxwell systems, Mathematical Methods in the Applied Sciences (accepted)
(44) Li Bo, He Zhimin, 1:2 and 1:4 resonances in a two-dimensional discrete Hindmarsh-Rose model, Nonlinear Dynamics,
79 (2015) 705-720
(43) Chen Huiwen, He Zhimin, Homoclinic orbits for second order discrete Hamiltonian systems with general potentials, Differential Equations and Dynamical Systems, 2014, DOI 10.1007 / s12591 -014-0225-7
(42) Xu Yan, He Zhimin, Stability of impulsive stochastic differential equations with Markovian switching, Applied Mathematics Letters 35 (2014) 35–40.
(41) Li Bo, He Zhimin, 1:3 Resonance and chaos in a discrete Hindmarsh-Rose model, Journal of Applied Mathematics, 2014, Article ID 896478, 10 pages.
(40) Xu Yan, He Zhimin, New conditions on the existence and stability of positive periodic solutions for n-species Lotka-Volterra systems with deviating arguments, Advance in Difference Equations, 2014, 2014:93.
(39) Li Bo, He Zhimin, Bifurcations and chaos in a two-dimensional discrete Hindmarsh–Rose model, Nonlinear Dynamics.
76(2014) 697–715.
(38) Chen Huiwen, He Zhimin, New existence and multiplicity of homoclinic solutions for second order non-autonomous systems, the Electronic Journal of Qualitative Theory of Differential Equations (EJQTDE), 2014, No. 22, 1-18.
(37) Chen Huiwen, He Zhimin, Infinitely many homoclinic solutions for a class of second-order Hamiltonian systems, Advance in Difference Equations, 2014, 2014:161
(36) He Zhimin, Li Bo, Complex dynamic behavior of a discrete-time predator-prey system of Holling-III type, Advance in Difference Equations, 2014, 2014:180.
(35) Chen Huiwen, He Zhimin, Homoclinic solutions for second order discrete Hamiltonian systems with asymptotically quadratic potentials, Mathematical Methods in the Applied Sciences, 37(2014) 2451-2462.
(34) Xu Yufeng, He Zhimin, Xu Qinwu, Numerical solutions of fractional advection-diffusion equations with a kind of new generalized fractional derivative, International Journal of Computer Mathematics, 91(3) (2014) 588-600.
(33) Xu Yufeng, He Zhimin, Existence of solutions for nonlinear high-order fractional boundary value problem with integral boundary condition, Journal of Applied Mathematics and Computing, 44(2014) 417-435.
(32) Xu Yufeng, He Zhimin, Synchronization of variable-order fractional financial system via active control method, Central European Journal of Physics, 11(6) (2013) 824-835
(31) Xu Yufeng, He Zhimin, Existence and uniqueness results for Cauchy problem of variable-order fractional differential equations, J Appl Math Comput, 43(2013) 295-306.
(30) Chen Huiwen, He Zhimin, Multiplicity of solutions for second-order Hamiltonian systems with impulses, J Appl Math Comput, 42(2013) 69-87
(29) Chen Huiwen, He Zhimin, Infinitely many homoclinic solutions for second-order discrete Hamiltonian systems, Journal of Difference Equations and Applications, 19(12) (2013) 1940-1951.
(28) Chen Huiwen, He Zhimin, Variational approach to some damped Dirichlet problems with impulses, Mathematical Methods in the Applied Sciences, 36(2013) 2564-2575.
(27) He Zhimin, Qiu Jia, Neimark–Sacker bifurcation of a third order rational difference equation, Journal of Difference Equations and Applications, 19(9)(2013), 1513-1522.
(26) Xu Yufeng, He Zhimin, Om P. Agrawal, Numerical and analytical solutions of new generalized fractional diffusion equation, Computers and Mathematics with Applications, 66(2013) 2019-2029.
(25) Chen Huiwen, He Zhimin, Homoclinic solutions for second order discrete Hamiltonian systems with superquadratic potentials, Journal of Difference Equations and Applications,19(7)(2013), 1147-1160.
(24) Chen Huiwen, Li Jianli, He Zhimin, The existence of subharmonic solutions with prescribed minimal period for forced pendulum equations with impulses, Applied Mathematical Modelling 37 (2013) 4189–4198.
(23) Chen Huiwen, He Zhimin, New results for perturbed Hamiltonian systems with impulses, Applied Mathematics and Computation, 218 (2012), 9489–9497.
(22) Xu Yufeng, He Zhimin, The short memory principle for solving Abel differential equation of fractional order, Computers and Mathematics with Applications, 62 (2011), 4796–4805.
(21) He Zhimin, Lai Xin,Bifurcation and chaotic behavior of a discrete-time predator–prey system, Nonlinear Analysis: Real World Applications 12 (2011) 403–417.
(20) He Zhimin, Lai Xin, Hou Aiyu, Stability and Neimark-Sacker bifurcation of numerical discretization of delay differential equations, Chaos, Solitions and Fractuals, 41(2009), 2010-2017.
(19) He Zhimin, Long Zhiwen, Three positive solutions of three-point boundary value problems for p-Laplacian dynamic equations on time scales, Nonlinear Analysis Series A: Theory, Methods & Applications, 69(2008), 569-578.
(18) He Zhimin, Li Lian, Multiple positive solutions for the one-dimentional p-Laplacian dynamic equations on time scales, Mathematical and Computer Modelling, 45(2007), 68-79.
(17) He Zhimin, Jiang Xiaoming, Triple positive solutions of boundary value problem for p-Laplacian dynamic equations on time scales, Journal of Mathematical Analysis and Applications, 321(2006), 911-920 .
(16) He Zhimin, Double positive solutions of three-point boundary value problem for p-Laplacian dynamic equations on time scales, Journal of Computational and Applied Mathematics, 182(2005), 304-315.
(15) He Zhimin, Yu Jianshe, On the existence of positive solutions of fourth-order difference equations, Applied Mathematics and Computation, 161(2005),139-148
(14) He Zhimin, Existence of two solutions of m-point boundary value problem for second order dynamic equations on time scales, Journal of Mathematical Analysis and Applications, 296(2004), 97-109.
(13) He Zhimin, Zhang Xianming, Monotone iterative technique for first order impulsive difference equations with periodic boundary conditions, Applied Mathematics and Computation, 156(2004), 605-620.
(12) He Zhimin, He Xiaoming, Periodic boundary value problem for first order impulsive integro-differential equations of mixed type, Journal of Mathematical Analysis and Applications, 296(2004), 8-20.
(11) He Zhimin, He Xiaoming, Monotone iterative technique for impulsive integro-differential equations with periodic boundary conditions, Computers and Mathematics with Applications, 48(2004), 73-78.
(10) He Zhimin, On the existence of positive solutions of p-Laplacian difference equations, Journal of Computational and Applied Mathematics, 161(2003), 193-201.
(9) He Zhimin, Ge Weigao, Oscillations of second-order nonlinear impulsive ordinary differential equations, Journal of Computational and Applied Mathematics, 158(2003), 397-406.
(8) He Zhimin, Wang Peiguang, Ge Weigao,Periodic boundary value problem for first order impulsive differential equations with supremum, Indian J. pure appl Math. 34(1)(2003), 133-143.
(7) He Zhimin, Ge Weigao, Oscillation in second order linear delay differential equations with nonlinear impulses, Math. Slovaca, 52(2002), 331-341.
(6) He Zhimin, Yu Jianshe, Periodic boundary value problem for first-order impulsive ordinary differential equations, Journal of Mathematical Analysis and Applications, 272(2002), 67-78.
(5) He Zhimin, Yu Jianshe, Periodic boundary value problem for first-order impulsive functional differential equations, Journal of Computational and Applied Mathematics, 138(2002), 205-217.
(4) He Zhimin, Ge Weigao, Oscillations of impulsive delay differential equations, Indian J. pure appl Math. 31(9)(2000), 1089-1101.
(3) He Zhimin, Ge Weigao, Periodic boundary value problem for first order impulsive delay differential equations,
Applied Mathematics and Computation, 104(1999), 51-63.
(2) He Zhimin, Ge Weigao, On the existence of positive solutions for impulsive neutral differential equations. J. Beijing Inst. Tech. 8 (1999), no. 4, 352–356
(1) He Zhimin, Ge Weigao, A boundary value problem for second order functional-differential equations with impulses. J. Beijing Inst. Tech. 7 (1998), no. 4, 323–329