Rose solutions with three petals for planar 4-body problems

被引：5

作者：

Deng ChunHua ^{[1
,2
,3
]}

Zhang ShiQing ^{[1
,2
]}

Zhou Qing ^{[4
]}

机构：

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

[2] Sichuan Univ, Coll Math, Chengdu 610064, Peoples R China

[3] Huaiyin Inst Technol, Fac Math & Phys, Huaian 223001, Peoples R China

[4] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 12期

基金：

中国国家自然科学基金;

关键词：

4-body problems with Newtonian potentials; rose solutions with three petals; winding numbers; variational minimization methods; N-BODY PROBLEMS; ACTION-MINIMIZING ORBITS; PERIODIC-SOLUTIONS; 3-BODY PROBLEM; LAGRANGIAN SOLUTIONS; VARIATIONAL-METHODS; EQUAL MASSES; MINIMIZATION; PROPERTY;

D O I：

10.1007/s11425-010-4021-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For planar Newtonian 4-body problems with equal masses, we use variational methods to prove the existence of a non-collision periodic choreography solution such that all bodies move on a rose-type curve with three petals.

引用

页码：3085 / 3094

页数：10

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