期刊论文详细信息
JOURNAL OF GEOMETRY AND PHYSICS 卷:126
New periodic solutions for some planar N+3-body problems with Newtonian potentials
Article
Yuan, Pengfei1  Zhang, Shiqing2,3 
[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
关键词: N+3-body problems;    Periodic solutions;    Winding numbers;    Variational minimizers;   
DOI  :  10.1016/j.geomphys.2018.01.004
来源: Elsevier
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【 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.

【 授权许可】

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