New Solutions for Some Planar N-body Problems
被引量：1
New Solutions for Some Planar N-body Problems
出处
《数学进展》
CSCD
北大核心
2004年第4期508-511,共4页
Advances in Mathematics（China）
基金
Supported by NSFC(No.10231010)
Trans-Century Programming Foundation
参考文献12
-
1Bahri A, Rabinowitz P. Periodic solutions of Hamiltonian systemsof three-body type [J]. Ann. IHP.Nonlineaire, 1991, 8: 561.649.
-
2Bessi U, Coti Zelati V. Symmetries and noncollision closed orbits for planar N-body-type problems [J].Nonl. Anal., 1991, 16: 587-598.
-
3Chen Kuo-Chang. Action minimizing orbitsin the parallelogram four-body problem with equal masses [J]. Arch. Rational Mech. Anal., 2001, 158: 293r318...
-
4Chenciner A. Action minimizing solutions of the Newtonian n-body problem: From homologv to symmetry [C]. ICM 2002, 3: 279-294, 1: 641-643.
-
5Coti Zelati V. The periodic solutions of N-body tyoe orobliems [J]. Ann. IHP. Anal. Nonlineaire, 1990,7: 477-492.
-
6Degiovanni M. Giannoni, F.Dynamical systems with Newtonian type potentials[J]. 4nn. Scuola Norm.Sup. Pisa, 1989, 15: 467-494.
-
7Gordon W. A minimizing property of Keplerian orbits[J].Amer. J. Math., 1977, 5: 961-971.
-
8Marchal C. How the method of minimization of action avoids srngularities [J]. Cel. Mech and Dyn.Astronomy, 2002, 83: 325-353.
-
9Palais R. The principle of. symmetric criticality [J].Comm. Math. Phy.,1979, 69: 19-30.
-
10Struwe M. Variational Methods [M]. Springer-Verlag: 1990.
同被引文献9
-
1Serra E, Terracini S. Noncollision Solutions to Some Singular Minimization Problems with Keplerian-like Potentials [J].Nonlinear Analysis, Theory, Methods and Applications, 1994, 22( 1 ) : 45-62.
-
2Serra E, Terracini S. Collisionless Periodic Solutions to Some Three-body Problems [ J ]. Arch Rational Mech Anal,1992, 120(4): 305-325.
-
3Meiyue J. Some Existence Result on Periodic and Generalized Periodic Solutions for Singular Hamiltonian Systems [J].Acta Mathematics Sinica, 1993, 9(2) : 129-138.
-
4Bessi U, Zelati V C. Symmetries and Noncollision Close Orbits for Planar N-Body-type Problems [J]. Nonlinear Analysis, Theory, Methods and Applications, 1991, 16(6) : 587-598.
-
5Chenciner A, Montgomery R. A Remarkable Periodic Solution of Three-body Problem in the Case of Equal Masses [J].Ann Math, 2000, 152: 881-901.
-
6Zelati V C. Periodic Solutions for N-Body Type Problems [ J ]. Annales de l' Institut Henri Poineare-Analyse non Lineaire, 1990, 7: 477-492.
-
7Gordon W B. Conservative Dynamical Systems Involving Strong Forces [J]. Tran A M S, 1975, 204: 113-135.
-
8Chenciner A, Gerver J, Montgomery R, et al. Simple Choreographic Motions of N Bodies: a Preliminary Study [ M ].New York: Springer, 2002 : 287-308.
-
9Simo C. Periodic Orbits of the Planar N-Body Probelm with Equal Masses and all Bodies on the Same Path [ M ]. Bristol :Institute of Physics Publishing, 2001: 265-284.
-
1A.Ebaid,B.Masaedeh,E.E1-Zahar.A New Fractional Model for the Falling Body Problem[J].Chinese Physics Letters,2017,34(2):1-3.
-
2张世清,周青.Geometric characterization for the least Lagrangian action of n-body problems[J].Science China Mathematics,2001,44(1):15-20.
-
3张世清.Notes on Regular Rolygon Solutions of planar N—Body Problems[J].西南师范大学学报（自然科学版）,2003,28(3):344-346. 被引量：3
-
4Yiming Long Nankai Institute of Mathematics. Nankai University. Tianjin 300071. P. R. China Shiqing Zhang Department of Applied Mathematics Chongqing University. Chongqing 40004, P.R. China.Geometric Characterizations for Variational Minimization Solutions of the 3-Body Problem[J].Acta Mathematica Sinica,English Series,2000,16(4):579-592. 被引量：3
-
5徐乐顺,冀书关.Numerical Computation of Figure-eight Solution for 3-body Problems[J].Northeastern Mathematical Journal,2007,23(3):226-230.
-
6OU YuWei.Hyperbolicity of elliptic Lagrangian orbits in the planar three body problem[J].Science China Mathematics,2014,57(7):1539-1544.
-
7张世清,周青.Nested regular polygon solutions for planar 2N-body problems[J].Science China Mathematics,2002,45(8):1053-1058. 被引量：3
-
8张世清.Figure "8" Type Solutions for Planar Circular Restricted 3-body Problems[J].数学进展,2004,33(2):253-255.
-
9Wentian KUANG,Yiming LONG.Geometric characterizations for variational minimizing solutions of charged 3-body problems[J].Frontiers of Mathematics in China,2016,11(2):309-321.
-
10张世清,周青.New Periodic Solutions for 3-body Problems[J].数学进展,2003,32(3):379-380.
