张东峰 - 东南大学

个人简介

张东峰副教授工作经历 2007.3-至今东南大学数学系教育经历 2004.1-2007.1 东南大学数学系博士研究生 2002.9-2004.1 东南大学数学系硕士研究生主持项目：国家自然科学基金天元基金：关于KAM环面的正则性和哈密顿系统光滑性的研究（No.10826035，主持），2009.1-2009.12。教育部博士点专项基金(新教师基金)：关于KAM环面Gevrey正则性的研究（No.200802861043，主持)，2009.1-2011.12。国家自然科学基金青年基金: KAM理论若干问题的研究及其应用 (No.11001048，主持)，2011.1-2013.12。荣誉奖项： 2008年，获得东南大学优秀博士论文； 2009年，获得东南大学教学奖励金二等奖； 2010年，获得东南大学第十七届青年教师授课竞赛三等奖； 2014年，获得东南大学71871奖教金一等奖 2018年，获得东南大学教育基金会奖教金

近期论文

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Zhang,Dongfeng*, Xu,Junxiang, Wu,Hao, Xu,Xindong, On the reducibility of linear quasi-periodic systems with Liouvillean basic frequencies and multiple eigenvalues, Journal of Differential Equations, 269 (2020), 10670-10716. Zhang, Dongfeng*, Xu, Junxiang, Reducibility of a class of nonlinearquasi-periodic systems with Liouvillean basic frequencies, Ergodic Theory Dynam. Systems, 2020，1-38. Zhang,Dongfeng*, Xu,Xindong, On the linearization of vector fields on a torus with prescribed frequency, Topological Methods in Nonlinear Analysis，Vol 54, No 2, 2019, 649-663. Zhang, Dongfeng; Xu, Junxiang; Xu, Xindong Reducibility of three dimensional skew symmetric system with Liouvillean basic frequencies. Discrete Contin. Dyn. Syst. 38 (2018), no. 6, 2851-2877. Zhang, Dongfeng; Xu, Junxiang; Wang, Xiaocai A new KAM iteration with nearly infinitely small steps in reversible systems of polynomial character. Qual. Theory Dyn. Syst. 17 (2018), no. 1, 271–289. Zhang, Dongfeng; Xu, Junxiang Gevrey smoothness of families of invariant curves for analytic area preserving mappings. Acta Appl. Math. 154 (2018), 31–42. Hong, Weiwei; Zhang, Dongfeng Persistence of lower dimensional invariant tori in a class of reversible systems. Dyn. Syst. 33 (2018), no. 1, 72–92. Zhang, Dongfeng; Liang, Jianli On high dimensional Schrödinger equation with quasi-periodic potentials. J. Dyn. Control Syst. 23 (2017), no. 3, 655–666. Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems. Discrete Contin. Dyn. Syst. 37 (2017), no. 4, 2141–2160. Xu, Xindong; Zhang, Dongfeng Full dimension tori of Schrödinger equation. J. Math. Phys. 57 (2016), no. 11, 112702, 17 pp. Zhang, Dongfeng; Xu, Junxiang; Wu, Hao， On Invariant Tori with Prescribed Frequency in Hamiltonian Systems，Advanced Nonlinear Studies, Volume 16, Issue 4 (2016), 719-737. Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng A new KAM theorem for the hyperbolic lower dimensional tori in reversible systems. Acta Appl. Math. 143 (2016), 45–61. Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems. Discrete Contin. Dyn. Syst. 36 (2016), no. 3, 1677–1692. Zhang, Dongfeng; Xu, Junxiang On invariant tori of vector field under weaker non-degeneracy condition. NoDEA Nonlinear Differential Equations Appl. 22 (2015), no. 5, 1381–1394. Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng On the persistence of degenerate lower-dimensional tori in reversible systems. Ergodic Theory Dynam. Systems 35 (2015), no. 7, 2311–2333. Zhang, Dongfeng; Xu, Junxiang Invariant curves of analytic reversible mappings under Brjuno-Rüssmann's non-resonant condition. J. Dynam. Differential Equations 26 (2014), no. 4, 989–1005. Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng Degenerate lower dimensional tori in reversible systems. J. Math. Anal. Appl. 387 (2012), no. 2, 776–790. Cheng, Rong; Zhang, Dongfeng Nontrivial periodic solutions for strong resonance Hamiltonian systems via a local linking theorem. Nonlinear Anal. 74 (2011), no. 16, 5467–5474. Wang, Xiaocai; Zhang, Dongfeng; Xu, Junxiang Persistence of lower dimensional tori for a class of nearly integrable reversible systems. Acta Appl. Math. 115 (2011), no. 2, 193–207. Zhang, Dongfeng; Cheng, Rong Gevrey regularity of invariant curves of analytic reversible mappings. Adv. Difference Equ. 2010, Art. ID 324378, 18 pp. Zhang, Dongfeng; Cheng, Rong On invariant tori of nearly integrable Hamiltonian systems with quasiperiodic perturbation. Fixed Point Theory Appl. 2010, Art. ID 697343, 17 pp. Cheng, Rong; Zhang, Dongfeng Existence results of periodic solutions for non-autonomous differential delay equations with asymptotically linear properties. Nonlinear Anal. Real World Appl. 11 (2010), no. 5, 3406–3412. Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng Persistence of lower dimensional elliptic invariant tori for a class of nearly integrable reversible systems. Discrete Contin. Dyn. Syst. Ser. B 14 (2010), no. 3, 1237–1249. Cheng, Rong; Xu, Junxiang; Zhang, Dongfeng On the existence of periodic solutions for a class of non-autonomous differential delay equations. Topol. Methods Nonlinear Anal. 35 (2010), no. 1, 139–154. Cheng, Rong; Zhang, Dongfeng A generalized Wirtinger's inequality with applications to a class of ordinary differential equations. J. Inequal. Appl. 2009, Art. ID 710475, 7 pp. Zhang, Dong Feng; Xu, Jun Xiang Invariant hyperbolic tori for Gevrey-smooth Hamiltonian systems under Rüssmann's non-degeneracy condition. Acta Math. Sin. (Engl. Ser.) 24 (2008), no. 10, 1625–1636. Zhang, Dong Feng; Xu, Jun Xiang Invariant curves of smooth quasiperiodic reversible mappings. (Chinese) Acta Math. Sinica (Chin. Ser.) 50 (2007), no. 6, 1371–1380. Zhang, Dongfeng; Xu, Junxiang Invariant tori for Gevrey-smooth Hamiltonian systems under Rüssmann's non-degeneracy condition. Nonlinear Anal. 67 (2007), no. 7, 2240–2257. Wang, Shaoping; Zhang, Dongfeng; Xu, Junxiang On the persistence of elliptic lower-dimensional tori in Hamiltonian systems under the first Melnikov condition and Rüssmann's non-degeneracy condition. Nonlinear Anal. 66 (2007), no. 8, 1675–1685. Zhang, Dongfeng; Xu, Junxiang On elliptic lower dimensional tori for Gevrey-smooth Hamiltonian systems under Rüssmann's non-degeneracy condition. Discrete Contin. Dyn. Syst. 16 (2006), no. 3, 635–655. Zhang, Dongfeng; Xu, Junxiang Gevrey-smoothness of elliptic lower-dimensional invariant tori in Hamiltonian systems under Rüssmann's non-degeneracy condition. J. Math. Anal. Appl. 323 (2006), no. 1, 293–312.

学术兼职

1.美国《数学评论》评论员 2.德国《数学文摘》评论员