Hu, Xijun; Ou, Yuwei; Tang, Xiuting Linear stability of an elliptic relative equilibrium in the spatial \(n\)-body problem via index theory. (English) Zbl 07765049 Regul. Chaotic Dyn. 28, No. 4-5, 731-755 (2023). MSC: 37J25 37J51 37B30 70F10 53D12 PDFBibTeX XMLCite \textit{X. Hu} et al., Regul. Chaotic Dyn. 28, No. 4--5, 731--755 (2023; Zbl 07765049) Full Text: DOI
Hu, Xi Jun; Wu, Li Mean index for non-periodic orbits in Hamiltonian systems. (English) Zbl 1521.37066 Acta Math. Sin., Engl. Ser. 38, No. 1, 291-310 (2022). MSC: 37J46 37J51 37E45 37B30 47A53 PDFBibTeX XMLCite \textit{X. J. Hu} and \textit{L. Wu}, Acta Math. Sin., Engl. Ser. 38, No. 1, 291--310 (2022; Zbl 1521.37066) Full Text: DOI arXiv
Hu, Xijun; Wu, Li Decomposition of spectral flow and Bott-type iteration formula. (English) Zbl 1450.58011 Electron. Res. Arch. 28, No. 1, 127-148 (2020). Reviewer: Adnane Elmrabty (Guelmim) MSC: 58J30 37B30 53D12 PDFBibTeX XMLCite \textit{X. Hu} and \textit{L. Wu}, Electron. Res. Arch. 28, No. 1, 127--148 (2020; Zbl 1450.58011) Full Text: DOI arXiv
Barutello, Vivina L.; Hu, Xijun; Portaluri, Alessandro; Terracini, Susanna An index theory for asymptotic motions under singular potentials. (English) Zbl 1473.70021 Adv. Math. 370, Article ID 107230, 56 p. (2020). MSC: 70F10 37B30 58J30 53D12 70F15 70F16 70G75 PDFBibTeX XMLCite \textit{V. L. Barutello} et al., Adv. Math. 370, Article ID 107230, 56 p. (2020; Zbl 1473.70021) Full Text: DOI arXiv
Hu, Xijun; Yu, Guowei An index theory for zero energy solutions of the planar anisotropic Kepler problem. (English) Zbl 1425.37016 Commun. Math. Phys. 361, No. 2, 709-736 (2018). MSC: 37B30 34A26 34C05 37J45 70F05 PDFBibTeX XMLCite \textit{X. Hu} and \textit{G. Yu}, Commun. Math. Phys. 361, No. 2, 709--736 (2018; Zbl 1425.37016) Full Text: DOI arXiv
Chen, Chao-Nien; Hu, Xijun Maslov index for homoclinic orbits of Hamiltonian systems. (English) Zbl 1202.37081 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 4, 589-603 (2007). MSC: 37J45 34C37 37B30 53D12 PDFBibTeX XMLCite \textit{C.-N. Chen} and \textit{X. Hu}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 4, 589--603 (2007; Zbl 1202.37081) Full Text: DOI Numdam EuDML