Fenucci, Marco; Gronchi, Giovanni Federico Symmetric constellations of satellites moving around a central body of large mass. (English) Zbl 07691666 J. Dyn. Differ. Equations 35, No. 2, 1511-1559 (2023). Reviewer: Yuwei Ou (Jinan) MSC: 70F10 70G75 70K42 PDFBibTeX XMLCite \textit{M. Fenucci} and \textit{G. F. Gronchi}, J. Dyn. Differ. Equations 35, No. 2, 1511--1559 (2023; Zbl 07691666) Full Text: DOI arXiv
Li, Fengying; Zhang, Shiqing Periodic solutions for \(N\)-body-type problems. (English) Zbl 1476.70024 Chin. Ann. Math., Ser. B 41, No. 5, 733-740 (2020). MSC: 70F07 34C25 PDFBibTeX XMLCite \textit{F. Li} and \textit{S. Zhang}, Chin. Ann. Math., Ser. B 41, No. 5, 733--740 (2020; Zbl 1476.70024) Full Text: DOI arXiv
Zhao, Furong; Jiang, Yueyong Action minimizing orbits in the 2+2- and 3+2-body problems with 2 fixed centers. (English) Zbl 1436.70001 J. Geom. Phys. 149, Article ID 103578, 6 p. (2020). MSC: 70F10 34C15 34C25 PDFBibTeX XMLCite \textit{F. Zhao} and \textit{Y. Jiang}, J. Geom. Phys. 149, Article ID 103578, 6 p. (2020; Zbl 1436.70001) Full Text: DOI
Yuan, Pengfei; Zhang, Shiqing New periodic solutions for some planar \(N + 3\)-body problems with Newtonian potentials. (English) Zbl 1411.70016 J. Geom. Phys. 126, 181-192 (2018). MSC: 70F10 70G75 70H12 34C15 34C25 PDFBibTeX XMLCite \textit{P. Yuan} and \textit{S. Zhang}, J. Geom. Phys. 126, 181--192 (2018; Zbl 1411.70016) Full Text: DOI arXiv
Zhao, Furong; Jiang, Yueyong The variational minimization solutions of 3-body problems with 2 fixed centers. (English) Zbl 1427.70029 J. Geom. Phys. 120, 1-4 (2017). MSC: 70F07 34C25 70F10 PDFBibTeX XMLCite \textit{F. Zhao} and \textit{Y. Jiang}, J. Geom. Phys. 120, 1--4 (2017; Zbl 1427.70029) Full Text: DOI
Cavalcanti, Anete S. An existence proof of a symmetric periodic orbit in the octahedral six-body problem. (English) Zbl 1412.70019 Discrete Contin. Dyn. Syst. 37, No. 4, 1903-1922 (2017). MSC: 70F16 70F15 70F10 37J50 PDFBibTeX XMLCite \textit{A. S. Cavalcanti}, Discrete Contin. Dyn. Syst. 37, No. 4, 1903--1922 (2017; Zbl 1412.70019) Full Text: DOI arXiv
Kuang, Wentian; Long, Yiming Geometric characterizations for variational minimizing solutions of charged 3-body problems. (English) Zbl 1350.70039 Front. Math. China 11, No. 2, 309-321 (2016). MSC: 70F07 70F16 58E50 34C25 PDFBibTeX XMLCite \textit{W. Kuang} and \textit{Y. Long}, Front. Math. China 11, No. 2, 309--321 (2016; Zbl 1350.70039) Full Text: DOI
Gronchi, Giovanni Federico Periodic orbits of the \(N\)-body problem with the symmetry of Platonic polyhedra. (English) Zbl 1425.70023 Celletti, Alessandra (ed.) et al., Mathematical models and methods for planet Earth. Selected papers based on the presentations at the workshop, MPE 2013, Rome, Italy, May 27–29, 2013. Cham: Springer. Springer INdAM Ser. 6, 143-155 (2014). MSC: 70F10 70K42 PDFBibTeX XMLCite \textit{G. F. Gronchi}, Springer INdAM Ser. 6, 143--155 (2014; Zbl 1425.70023) Full Text: DOI
Xia, Su; Zhang, Shiqing New periodic solutions for planar five-body and seven-body problems. (English) Zbl 1277.70014 Rep. Math. Phys. 70, No. 1, 27-38 (2012). MSC: 70F10 37N30 70F15 PDFBibTeX XMLCite \textit{S. Xia} and \textit{S. Zhang}, Rep. Math. Phys. 70, No. 1, 27--38 (2012; Zbl 1277.70014) Full Text: DOI Link
Deng, Chunhua; Zhang, Shiqing New periodic solutions for planar \((N+2)\)-body problems. (English) Zbl 1275.70008 J. Geom. Phys. 61, No. 12, 2369-2377 (2011). MSC: 70F10 PDFBibTeX XMLCite \textit{C. Deng} and \textit{S. Zhang}, J. Geom. Phys. 61, No. 12, 2369--2377 (2011; Zbl 1275.70008) Full Text: DOI
Fusco, G.; Gronchi, G. F.; Negrini, P. Platonic polyhedra, topological constraints and periodic solutions of the classical \(N\)-body problem. (English) Zbl 1305.70023 Invent. Math. 185, No. 2, 283-332 (2011). MSC: 70F10 70K42 52B15 PDFBibTeX XMLCite \textit{G. Fusco} et al., Invent. Math. 185, No. 2, 283--332 (2011; Zbl 1305.70023) Full Text: DOI arXiv
Deng, Chunhua; Zhang, Shiqing; Zhou, Qing Rose solutions with three petals for planar 4-body problems. (English) Zbl 1371.70036 Sci. China, Math. 53, No. 12, 3085-3094 (2010). MSC: 70F10 70H12 34C15 34C25 37J45 58E05 PDFBibTeX XMLCite \textit{C. Deng} et al., Sci. China, Math. 53, No. 12, 3085--3094 (2010; Zbl 1371.70036) Full Text: DOI
Deng, Chunhua; Zhang, Shiqing Periodic solutions for planar four-body problems. (English) Zbl 1169.70006 J. Geom. Phys. 59, No. 9, 1210-1215 (2009). MSC: 70F15 70G75 PDFBibTeX XMLCite \textit{C. Deng} and \textit{S. Zhang}, J. Geom. Phys. 59, No. 9, 1210--1215 (2009; Zbl 1169.70006) Full Text: DOI
Barutello, Vivina; Secchi, Simone Morse index properties of colliding solutions to the \(N\)-body problem. (English) Zbl 1143.70006 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 3, 539-565 (2008). Reviewer: Bojidar Cheshankov (Sofia) MSC: 70F10 70F16 PDFBibTeX XMLCite \textit{V. Barutello} and \textit{S. Secchi}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 3, 539--565 (2008; Zbl 1143.70006) Full Text: DOI arXiv EuDML
Terracini, Susanna; Venturelli, Andrea Symmetric trajectories for the \(2N\)-body problem with equal masses. (English) Zbl 1111.70010 Arch. Ration. Mech. Anal. 184, No. 3, 465-493 (2007). MSC: 70F10 PDFBibTeX XMLCite \textit{S. Terracini} and \textit{A. Venturelli}, Arch. Ration. Mech. Anal. 184, No. 3, 465--493 (2007; Zbl 1111.70010) Full Text: DOI
Deng, Chunhua; Zhang, Shiqing New periodic solutions for 2\(n\)-body problems in \(R^{3}\). (English) Zbl 1159.70007 J. Math. Anal. Appl. 330, No. 1, 312-321 (2007). MSC: 70F05 70K42 70G75 PDFBibTeX XMLCite \textit{C. Deng} and \textit{S. Zhang}, J. Math. Anal. Appl. 330, No. 1, 312--321 (2007; Zbl 1159.70007) Full Text: DOI
Chenciner, A. A note by Poincaré. (Russian. English summary) Zbl 07803108 Nelineĭn. Din. 1, No. 1, 143-154 (2005); translation from Regul. Chaotic Dyn. 10, No. 2, 119-128 (2005). MSC: 70-03 70F07 70F16 01A55 PDFBibTeX XMLCite \textit{A. Chenciner}, Nelineĭn. Din. 1, No. 1, 143--154 (2005; Zbl 07803108); translation from Regul. Chaotic Dyn. 10, No. 2, 119--128 (2005) Full Text: MNR
Zhang, Shiqing; Zhou, Qing Geometric characterization for the least Lagrangian action of \(n\)-body problems. (English) Zbl 1028.70011 Sci. China, Ser. A 44, No. 1, 15-20 (2001). MSC: 70F10 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{Q. Zhou}, Sci. China, Ser. A 44, No. 1, 15--20 (2001; Zbl 1028.70011) Full Text: DOI
Moulahi, Ammar Study of the periodic solutions of some \(n\)-body-type problems. (English) Zbl 0987.70011 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 2, 137-168 (2001). Reviewer: Ll.G.Chambers (Bangor) MSC: 70F10 34C25 PDFBibTeX XMLCite \textit{A. Moulahi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 2, 137--168 (2001; Zbl 0987.70011) Full Text: DOI
Zhang, Shiqing; Zhou, Qing A noncollision periodic solution for \(N\)-body problems. (English) Zbl 0991.70011 J. Math. Anal. Appl. 257, No. 2, 332-342 (2001). MSC: 70F10 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{Q. Zhou}, J. Math. Anal. Appl. 257, No. 2, 332--342 (2001; Zbl 0991.70011) Full Text: DOI
Long, Yiming; Zhang, Shiqing Geometric characterizations for variational minimization solutions of the 3-body problem. (English) Zbl 0980.70009 Acta Math. Sin., Engl. Ser. 16, No. 4, 579-592 (2000). MSC: 70F07 70G75 PDFBibTeX XMLCite \textit{Y. Long} and \textit{S. Zhang}, Acta Math. Sin., Engl. Ser. 16, No. 4, 579--592 (2000; Zbl 0980.70009) Full Text: DOI
Arioli, Gianni; Gazzola, Filippo; Terracini, Susanna Minimization properties of Hill’s orbits and applications to some \(N\)-body problems. (English) Zbl 0977.70006 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 17, No. 5, 617-650 (2000). MSC: 70F10 70F15 PDFBibTeX XMLCite \textit{G. Arioli} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 17, No. 5, 617--650 (2000; Zbl 0977.70006) Full Text: DOI Numdam EuDML
Long, Yiming; Zhang, Shiqing Geometric characterization for variational minimization solutions of the 3-body problem with fixed energy. (English) Zbl 0947.70009 J. Differ. Equations 160, No. 2, 422-438 (2000). MSC: 70F07 70H30 PDFBibTeX XMLCite \textit{Y. Long} and \textit{S. Zhang}, J. Differ. Equations 160, No. 2, 422--438 (2000; Zbl 0947.70009) Full Text: DOI
Long, Yiming; Zhang, Shiqing Geometric characterizations for variational minimization solutions of the 3-body problem. (English) Zbl 1288.70007 Chin. Sci. Bull. 44, No. 18, 1653-1655 (1999). MSC: 70F07 PDFBibTeX XMLCite \textit{Y. Long} and \textit{S. Zhang}, Chin. Sci. Bull. 44, No. 18, 1653--1655 (1999; Zbl 1288.70007) Full Text: DOI
Riahi, Hasna Study of the generalized solutions of \(n\)-body type problems with weak forces. (English) Zbl 0914.70007 Nonlinear Anal., Theory Methods Appl. 28, No. 1, 49-59 (1997). MSC: 70F10 PDFBibTeX XMLCite \textit{H. Riahi}, Nonlinear Anal., Theory Methods Appl. 28, No. 1, 49--59 (1997; Zbl 0914.70007) Full Text: DOI
Liu, Zhengrong; Zhang, Shiqing Non-simultaneous collision periodic solutions for \(N\)-body problems. (English) Zbl 0904.70008 J. Math. Anal. Appl. 212, No. 2, 343-348 (1997). Reviewer: M.-C.Anisiu (Cluj-Napoca) MSC: 70F10 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{S. Zhang}, J. Math. Anal. Appl. 212, No. 2, 343--348 (1997; Zbl 0904.70008) Full Text: DOI
Zhang, Shiqing Multiple closed orbits of fixed energy for \(N\)-body-type problems with gravitational potentials. (English) Zbl 0880.70008 J. Math. Anal. Appl. 208, No. 2, 462-475 (1997). MSC: 70F10 PDFBibTeX XMLCite \textit{S. Zhang}, J. Math. Anal. Appl. 208, No. 2, 462--475 (1997; Zbl 0880.70008) Full Text: DOI
Zhang, Shiqing Multiple geometrically distinct closed noncollision orbits of fixed energy for \(N\)-body type problems with strong force potentials. (English) Zbl 0863.34037 Proc. Am. Math. Soc. 124, No. 10, 3039-3046 (1996). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 34C25 37J99 34C15 70F10 PDFBibTeX XMLCite \textit{S. Zhang}, Proc. Am. Math. Soc. 124, No. 10, 3039--3046 (1996; Zbl 0863.34037) Full Text: DOI
Cai, Yingchun On a problem of Srinivasan. (English) Zbl 0855.11048 Acta Math. Sin., New Ser. 11, Spec. Iss., 37-43 (1995). Reviewer: A.Ivić (Beograd) MSC: 11N36 11N37 PDFBibTeX XMLCite \textit{Y. Cai}, Acta Math. Sin., New Ser. 11, 37--43 (1995; Zbl 0855.11048) Full Text: DOI
Zhang, Shiqing; Zhou, Qing Symmetric periodic noncollision solutions for \(N\)-body-type problems. (English) Zbl 0836.70008 Acta Math. Sin., New Ser. 11, No. 1, 37-43 (1995). MSC: 70F10 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{Q. Zhou}, Acta Math. Sin., New Ser. 11, No. 1, 37--43 (1995; Zbl 0836.70008) Full Text: DOI
Ambrosetti, Antonio; Tanaka, Kazunaga; Vitillaro, Enzo Periodic solutions with prescribed energy for some Keplerian \(N\)-body problems. (English) Zbl 0855.70006 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 11, No. 6, 613-632 (1994). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 70F10 58E05 37J99 PDFBibTeX XMLCite \textit{A. Ambrosetti} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 11, No. 6, 613--632 (1994; Zbl 0855.70006) Full Text: DOI Numdam EuDML
Zhu, Daxin Periodic solutions of prescribed energy for a class of symmetric singular dynamical systems. (English) Zbl 0815.58019 Acta Math. Sin., New Ser. 10, No. 4, 410-414 (1994). Reviewer: J.Andres (Olomouc) MSC: 37G99 PDFBibTeX XMLCite \textit{D. Zhu}, Acta Math. Sin., New Ser. 10, No. 4, 410--414 (1994; Zbl 0815.58019) Full Text: DOI
Zhang, Jingzhong; Yang, Lu; Yang, Xiaochun The realization of elementary configurations in Euclidean space. (English) Zbl 0804.51025 Sci. China, Ser. A 37, No. 1, 15-26 (1994). Reviewer: H.Germer (Berlin) MSC: 51M05 51A20 PDFBibTeX XMLCite \textit{J. Zhang} et al., Sci. China, Ser. A 37, No. 1, 15--26 (1994; Zbl 0804.51025) Full Text: DOI
Majer, Pietro; Terracini, Susanna Periodic solutions to some problems of \(n\)-body type. (English) Zbl 0782.70010 Arch. Ration. Mech. Anal. 124, No. 4, 381-404 (1993). MSC: 70F10 37G99 34C25 PDFBibTeX XMLCite \textit{P. Majer} and \textit{S. Terracini}, Arch. Ration. Mech. Anal. 124, No. 4, 381--404 (1993; Zbl 0782.70010) Full Text: DOI
Ambrosetti, A.; Coti-Zelati, V. Closed orbits of fixed energy for a class of \(N\)-body problems. (English) Zbl 0757.70007 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 9, No. 2, 187-200 (1992). Reviewer: Vasile Marinca (Timişoara) MSC: 70F10 37G99 PDFBibTeX XMLCite \textit{A. Ambrosetti} and \textit{V. Coti-Zelati}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 9, No. 2, 187--200 (1992; Zbl 0757.70007) Full Text: DOI Numdam EuDML
Ambrosetti, Antonio Critical points and nonlinear variational problems. (English) Zbl 0766.49006 Mém. Soc. Math. Fr., Nouv. Sér. 49, 139 p. (1992). Reviewer: J.F.Bonnans (Le Chesnay) MSC: 49J20 49J15 PDFBibTeX XMLCite \textit{A. Ambrosetti}, Mém. Soc. Math. Fr., Nouv. Sér. 49, 139 p. (1992; Zbl 0766.49006) Full Text: DOI Numdam EuDML
Serra, Enrico; Terracini, Susanna Collisionless periodic solutions to some three-body problems. (English) Zbl 0773.70009 Arch. Ration. Mech. Anal. 120, No. 4, 305-325 (1992). MSC: 70F07 34C25 PDFBibTeX XMLCite \textit{E. Serra} and \textit{S. Terracini}, Arch. Ration. Mech. Anal. 120, No. 4, 305--325 (1992; Zbl 0773.70009) Full Text: DOI