New periodic solutions for some planar N+3-body problems with Newtonian potentials

被引：0
|
作者：
Yuan, Pengfei [1 ]
Zhang, Shiqing [2 ,3 ]
机构：
[1] Southwest Univ, Coll Math & Stat, Chongqing 400715, Peoples R China
[2] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Sichuan, Peoples R China
[3] Sichuan Univ, Coll Math, Chengdu 610064, Sichuan, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2018年 / 126卷
基金：
中国国家自然科学基金;
关键词：
N+3-body problems; Periodic solutions; Winding numbers; Variational minimizers; N-BODY PROBLEM; ACTION-MINIMIZING ORBITS; 3-BODY PROBLEM; EQUAL MASSES; LAGRANGIAN SOLUTIONS; VARIATIONAL-METHODS; SYMMETRY GROUPS; 4-BODY PROBLEM; MINIMIZATION; TRAJECTORIES;
D O I：
10.1016/j.geomphys.2018.01.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For some planar Newtonian N + 3-body problems, we use variational minimization methods to prove the existence of new periodic solutions satisfying that N bodies chase each other on a curve, and the other 3 bodies chase each other on another curve. From the definition of orbit spaces in our paper, we can find that they are new solutions which are also different from all the examples of Ferrario and Terracini (2004). (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：181 / 192
页数：12
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