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。

1. 论文目录：  
   
2.   Wu,Hao; Xu,Xindong; Zhang,Dongfeng; On the ultradifferentiable normalization, Mathematische Zeitschrift,     2021,  1-29,  https://doi.org/10.1007/s00209-021-02708-8.  
   
3.   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.  
   
4.  Zhang, Dongfeng*, Xu, Junxiang, Reducibility of a class of nonlinearquasi-periodic systems with Liouvillean basic frequencies,   Ergodic Theory and Dynamical Systems ,  2020, 1 - 38,  DOI: https://doi.org/10.1017/etds.2020.23.  
   
5.  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.
6. 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.
   
7. 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.
   
8. Zhang, Dongfeng; Xu, Junxiang Gevrey smoothness of families of invariant curves for analytic area preserving mappings. Acta Appl. Math. 154 (2018), 31–42.
   
9. Hong, Weiwei; Zhang, Dongfeng Persistence of lower dimensional invariant tori in a class of reversible systems. Dyn. Syst. 33 (2018), no. 1, 72–92. 
   
10. Zhang, Dongfeng; Liang, Jianli On high dimensional Schrödinger equation with quasi-periodic potentials. J. Dyn. Control Syst. 23 (2017), no. 3, 655–666.
    
11. 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.
12.  Xu, Xindong; Zhang, Dongfeng Full dimension tori of Schrödinger equation. J. Math. Phys. 57 (2016), no. 11, 112702, 17 pp.
13. 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.
14.  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.
    
15. 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.
    
16. 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.
17. 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.
18. 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.