Sun, Shanzhong; Xie, Zhifu; You, Peng On the uniqueness of convex central configurations in the planar 4-body problem. (English) Zbl 07765037 Regul. Chaotic Dyn. 28, No. 4-5, 512-532 (2023). Reviewer: Skyler C. Simmons (Orem) MSC: 70F10 70-08 PDFBibTeX XMLCite \textit{S. Sun} et al., Regul. Chaotic Dyn. 28, No. 4--5, 512--532 (2023; Zbl 07765037) Full Text: DOI arXiv
Xie, Zhifu Remarks on the inverse problem of the collinear central configurations in the \(N\)-body problem. (English) Zbl 1522.70019 Electron. Res. Arch. 30, No. 7, 2540-2549 (2022). Reviewer: Liviu Popescu (Craiova) MSC: 70F17 70F10 PDFBibTeX XMLCite \textit{Z. Xie}, Electron. Res. Arch. 30, No. 7, 2540--2549 (2022; Zbl 1522.70019) Full Text: DOI
Xie, Zhifu; Johnson, William Super central configurations in the collinear 5-body problem. (English) Zbl 1474.37114 Appl. Math. Comput. 381, Article ID 125194, 13 p. (2020). MSC: 37N05 70F10 70F15 PDFBibTeX XMLCite \textit{Z. Xie} and \textit{W. Johnson}, Appl. Math. Comput. 381, Article ID 125194, 13 p. (2020; Zbl 1474.37114) Full Text: DOI
Ouyang, Tiancheng; Xie, Zhifu A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses. (English) Zbl 1382.37092 J. Differ. Equations 264, No. 7, 4425-4455 (2018). MSC: 37N05 70F10 70F15 70H05 70F17 PDFBibTeX XMLCite \textit{T. Ouyang} and \textit{Z. Xie}, J. Differ. Equations 264, No. 7, 4425--4455 (2018; Zbl 1382.37092) Full Text: DOI arXiv
Ouyang, Tiancheng; Xie, Zhifu Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem. (English) Zbl 1364.70024 Physica D 307, 61-76 (2015). MSC: 70F10 70K42 70K20 70H05 PDFBibTeX XMLCite \textit{T. Ouyang} and \textit{Z. Xie}, Physica D 307, 61--76 (2015; Zbl 1364.70024) Full Text: DOI
Xie, Zhifu Central configurations, super central configurations, and beyond in the \(n\)-body problem. (English) Zbl 1339.70017 Toni, Bourama (ed.) et al., Bridging mathematics, statistics, engineering and technology. Contributions from the fall 2011 seminar on mathematical sciences and applications, Virginia State University, Petersburg, VA, USA, 2011. Berlin: Springer (ISBN 978-1-4614-4558-6/hbk; 978-1-4614-4559-3/ebook). Springer Proceedings in Mathematics & Statistics 24, 1-8 (2012). MSC: 70F10 70F15 PDFBibTeX XMLCite \textit{Z. Xie}, Springer Proc. Math. Stat. 24, 1--8 (2012; Zbl 1339.70017) Full Text: DOI
Ouyang, Tiancheng; Xie, Zhifu Number of central configurations and singular surfaces in the mass space in the collinear four-body problem. (English) Zbl 1258.70022 Trans. Am. Math. Soc. 364, No. 6, 2909-2932 (2012). Reviewer: Alessandra Celletti (Roma) MSC: 70F10 70F15 37N05 PDFBibTeX XMLCite \textit{T. Ouyang} and \textit{Z. Xie}, Trans. Am. Math. Soc. 364, No. 6, 2909--2932 (2012; Zbl 1258.70022) Full Text: DOI
Xie, Zhifu; Hodge, Kenyaita; Henderson, Krystolyn; Westbrook, Michael Super central configurations of the three-body problem under the inverse integer power law. (English) Zbl 1272.70058 J. Math. Phys. 52, No. 9, 092901, 6 p. (2011). MSC: 70F07 70F10 70F15 PDFBibTeX XMLCite \textit{Z. Xie} et al., J. Math. Phys. 52, No. 9, 092901, 6 p. (2011; Zbl 1272.70058) Full Text: DOI
Xie, Zhifu The golden ratio and super central configurations of the \(n\)-body problem. (English) Zbl 1230.37101 J. Differ. Equations 251, No. 1, 58-72 (2011). Reviewer: Gheorghe Tigan (Timisoara) MSC: 37N05 70F10 70F15 37N30 70H05 PDFBibTeX XMLCite \textit{Z. Xie}, J. Differ. Equations 251, No. 1, 58--72 (2011; Zbl 1230.37101) Full Text: DOI
Xie, Zhifu Super central configurations of the \(n\)-body problem. (English) Zbl 1310.70023 J. Math. Phys. 51, No. 4, 042902, 7 p. (2010). MSC: 70F10 PDFBibTeX XMLCite \textit{Z. Xie}, J. Math. Phys. 51, No. 4, 042902, 7 p. (2010; Zbl 1310.70023) Full Text: DOI
Xie, Zhifu Inverse problem of central configurations and singular curve in the collinear 4-body problem. (English) Zbl 1223.70057 Celest. Mech. Dyn. Astron. 107, No. 3, 353-376 (2010). MSC: 70F17 70F10 PDFBibTeX XMLCite \textit{Z. Xie}, Celest. Mech. Dyn. Astron. 107, No. 3, 353--376 (2010; Zbl 1223.70057) Full Text: DOI
Shi, Junping; Xie, Zhifu Classification of four-body central configurations with three equal masses. (English) Zbl 1301.70008 J. Math. Anal. Appl. 363, No. 2, 512-524 (2010). MSC: 70F10 70F15 PDFBibTeX XMLCite \textit{J. Shi} and \textit{Z. Xie}, J. Math. Anal. Appl. 363, No. 2, 512--524 (2010; Zbl 1301.70008) Full Text: DOI Link
Woodlin, Mervin; Xie, Zhifu Collinear central configurations in the \(N\)-body problem with general homogeneous potential. (English) Zbl 1236.70008 J. Math. Phys. 50, No. 10, 102901, 8 p. (2009). MSC: 70F10 PDFBibTeX XMLCite \textit{M. Woodlin} and \textit{Z. Xie}, J. Math. Phys. 50, No. 10, 102901, 8 p. (2009; Zbl 1236.70008) Full Text: DOI