Qu, Ru; Zhang, DongFeng The persistence of degenerate lower-dimensional tori in reversible systems with a degenerate normal equilibrium point. (English) Zbl 1523.70024 J. Dyn. Differ. Equations 35, No. 3, 2237-2259 (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 70H08 70H09 37J40 PDFBibTeX XMLCite \textit{R. Qu} and \textit{D. Zhang}, J. Dyn. Differ. Equations 35, No. 3, 2237--2259 (2023; Zbl 1523.70024) Full Text: DOI
Zhang, Dongfeng; Wu, Hao Existence of invariant curves with prescribed frequency for degenerate area preserving mappings. (English) Zbl 1518.70019 Front. Math. China 17, No. 6, 1133-1155 (2022). MSC: 70H08 70H09 37J40 PDFBibTeX XMLCite \textit{D. Zhang} and \textit{H. Wu}, Front. Math. China 17, No. 6, 1133--1155 (2022; Zbl 1518.70019) Full Text: DOI
Zhang, Dongfeng; Xu, Junxiang; Wang, Xiaocai A new KAM iteration with nearly infinitely small steps in reversible systems of polynomial character. (English) Zbl 1392.37048 Qual. Theory Dyn. Syst. 17, No. 1, 271-289 (2018). MSC: 37J40 47A55 70K43 PDFBibTeX XMLCite \textit{D. Zhang} et al., Qual. Theory Dyn. Syst. 17, No. 1, 271--289 (2018; Zbl 1392.37048) Full Text: DOI
Hong, Weiwei; Zhang, Dongfeng Persistence of lower dimensional invariant tori in a class of reversible systems. (English) Zbl 1383.37048 Dyn. Syst. 33, No. 1, 72-92 (2018). MSC: 37J40 47A55 70K43 70H08 PDFBibTeX XMLCite \textit{W. Hong} and \textit{D. Zhang}, Dyn. Syst. 33, No. 1, 72--92 (2018; Zbl 1383.37048) Full Text: DOI
Zhang, Dongfeng; Xu, Junxiang; Wang, Xiaocai A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems. (English) Zbl 1364.37131 Discrete Contin. Dyn. Syst. 37, No. 4, 2141-2160 (2017). MSC: 37J40 47A55 PDFBibTeX XMLCite \textit{D. Zhang} et al., Discrete Contin. Dyn. Syst. 37, No. 4, 2141--2160 (2017; Zbl 1364.37131) Full Text: DOI
Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems. (English) Zbl 1333.37091 Discrete Contin. Dyn. Syst. 36, No. 3, 1677-1692 (2016). MSC: 37J40 47A55 37F50 PDFBibTeX XMLCite \textit{X. Wang} et al., Discrete Contin. Dyn. Syst. 36, No. 3, 1677--1692 (2016; Zbl 1333.37091) Full Text: DOI
Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng Persistence of lower dimensional elliptic invariant tori for a class of nearly integrable reversible systems. (English) Zbl 1202.37080 Discrete Contin. Dyn. Syst., Ser. B 14, No. 3, 1237-1249 (2010). MSC: 37J40 37E99 47A55 37F50 PDFBibTeX XMLCite \textit{X. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 14, No. 3, 1237--1249 (2010; Zbl 1202.37080) Full Text: DOI