Notes on Regular Rolygon Solutions of planar N—Body Problems 被引量：3

下载PDF

导出

摘要 Some remarks was given on the famousresults of perko-water-elmobsoul theorem on regular pdygon

作者张世清

机构地区扬州大学数学系

出处《西南师范大学学报（自然科学版）》 CAS CSCD 北大核心 2003年第3期344-346,共3页 Journal of Southwest China Normal University(Natural Science Edition)

关键词平面N-体问题正多边形解循环矩阵 Perko-Walter-Elmabsout定理

参考文献4

1B. Elmabsout.Sur l’existence de certaines configurations d’equilibre relatif dans le probleme desN corps[J].Celestial Mechanics (-).1987(1-4)
2Perko L M,Walter E L Walter.Regular polygon solutions of the n-body problem[].Proceedings of the American Mathematical Society.1985
3Chenciner A.Comment on"A simpler proof of regular polygon solutions of the N body problem"by Zhifu Xie and Shiqing Zhang[].Physics Letters A.2000
4Chenciner A.Are there perverse choreographies? Proc[]..2001

1刘文中,张同杰,徐玢.平面kN体问题正多边形解的简明数值方法[J].北京师范大学学报（自然科学版）,2005,41(4):386-388. 被引量：2
2Xie Zhifu,Zhang Shiqing.A Simpler Proof of Regular Polygon Solutions of the N-body Problem[J].Physics Letters A,2000:277-156.
3Bruschi M, Calogero F. Solvable and/or integrable and/or linearizable N-body problemsin ordinary (three-dimensional) space I [J]. Journal of Nonlinear Mathematical Physics, 2000, 7(3):303
4Molina R, Vigueras A. The planar n-body problem:regular polygon solutions[J]. Applied Mathematics and Computation, 2004, 156:321
5de Castro A S, Vilela C A. On the regular-geometricfigure solutions to the n-body problems[J]. Eur J Phys,2001, 22:478
6Zhang Shiqing, Xie Zhifu. Nested regular polygon solutions of the 2n-body problem[J]. Physics Letters A,2001, 281.119
7Perko L M. and Walter E L. Regular polygon solutions of the N-body problem[J]. Proc AMS, 1985, 94:301
8Xie Zhifu, Zhang Shiqing. A simpler proof of regular polygon solutions of the N-body problem [J]. Physics Letters A, 2000, 277-156
9Buck G. Most smooth closed space curves contain approximate solutions of the N-body problem[J]. Nature, 1998, 395(3) :51.
10Moeckel R. Simo C. Bifurcation of spatial central configurations from planar ones [J]. SIAM J Math Anal, 1995, 26(4):978.

1李学文.构造正多边形解题的策略[J].初中数学教与学,2008(12):8-10.
2刘文中,马利华,徐玢,张同杰.N体问题平面正多边形解[J].北京师范大学学报（自然科学版）,2006,42(5):486-488. 被引量：1
3刘文中,马利华,徐玢,张同杰.计算物理学——N体问题平面正多边形解[J].中国学术期刊文摘,2007,13(9):60-60.
4刘文忠,孙艳春,张同杰.平面2N体问题的正N边形中心构型[J].北京师范大学学报（自然科学版）,2011,47(5):470-472.
5刘文忠.平面(kN+1)体问题正多边形解的简明数值方法[J].北京师范大学学报（自然科学版）,2011,47(2):134-137.
6张世清.New Solutions for Some Planar N-body Problems[J].数学进展,2004,33(4):508-511. 被引量：1
7李晓莉(译),谌稳固(校).一位数学家写给高中的一封信[J].数学译林,2012,31(2):168-171.
8刘文中,张同杰,徐玢.平面kN体问题正多边形解的简明数值方法[J].北京师范大学学报（自然科学版）,2005,41(4):386-388. 被引量：2
9刘文中,徐玢,王欢,张同杰.物理学：理论物理学--N体问题的“蜂窝型”中心构型[J].中国学术期刊文摘,2007,13(11):32-32.
10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.

西南师范大学学报（自然科学版）

2003年第3期

内容加载中请稍等...