Rose solutions with three petals for planar 4-body problems

作     者：DENG ChunHua 1,2 , ZHANG ShiQing 1, & ZHOU Qing 3 1 Yangtze Center of Mathematics and College of Mathematics, Sichuan University, Chengdu 610064, China 2 Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huai’an 223001, China 3 Department of Mathematics, East China Normal University, Shanghai 200062, China 

作者机构：Yangtze Center of Mathematics and College of Mathematics Sichuan University Faculty of Mathematics and Physics Huaiyin Institute of Technology Department of Mathematics East China Normal University 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2010年第53卷第12期

页      面：3085-3094页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by National Natural Science Foundation of China,a grant for Ph.D. of Chinese Educational Committee the Scientific Research Foundation of Huaiyin Institute of Technology (Grant Nos. HGB0913, HGC0928) 

主　　题：4-body problems with Newtonian potentials rose solutions with three petals winding numbers variational minimization methods 

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.