Central configurations formed by two twisted regular polygons

被引：9

作者：

Yu, Xiang ^{[1
]}

Zhang, Shiqing ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 425卷 / 01期

关键词：

Twisted N plus L-body problems; Central configurations; RELATIVE EQUILIBRIA; FINITENESS; PLANAR;

D O I：

10.1016/j.jmaa.2014.12.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the necessary conditions and sufficient conditions for the central configurations formed by two twisted regular polygons (one N-regular polygon and one L-regular polygon). We wish to extend the results of the symmetrical central configurations formed by two twisted N-regular polygons, however, to our own surprise, it will be proved that the necessary condition on the central configurations is L = N. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：372 / 380

页数：9

共 10 条

[1] Finiteness of central configurations of five bodies in the plane [J].

Albouy, Alain ;

Kaloshin, Vadim .

ANNALS OF MATHEMATICS, 2012, 176 (01) :535-588

[2] Finiteness of relative equilibria of the four-body problem [J].

Hampton, M ;

Moeckel, R .

INVENTIONES MATHEMATICAE, 2006, 163 (02) :289-312

[3] ON CENTRAL CONFIGURATIONS [J].

MOECKEL, R .

MATHEMATISCHE ZEITSCHRIFT, 1990, 205 (04) :499-517

[4] BIFURCATION OF SPATIAL CENTRAL CONFIGURATIONS FROM PLANAR ONES [J].

MOECKEL, R ;

SIMO, C .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1995, 26 (04) :978-998

[5] CLASSIFYING RELATIVE EQUILIBRIA .2. [J].

PALMORE, JI .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 81 (02) :489-491

[6]

Saari Donald G., 1980, CELESTIAL MECH, V21, P9

[7] Mathematical problems for the next century [J].

Smale, S .

MATHEMATICAL INTELLIGENCER, 1998, 20 (02) :7-15

[8]

Wintner A., 1941, ANAL FDN CELESTIAL M

[9] Twisted angles for central configurations formed by two twisted regular polygons [J].

Yu, Xiang ;

Zhang, Shiqing .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 253 (07) :2106-2122

[10] Periodic solutions for planar 2N-body problems [J].

Zhang, SQ ;

Zhou, Q .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (07) :2161-2170

← 1 →