PERIODIC SOLUTIONS OF THE PLANAR N-CENTER PROBLEM WITH TOPOLOGICAL CONSTRAINTS

被引：17
|
作者：
Yu, Guowei [1 ]
机构：
[1] Univ Toronto, Dept Math, 40 St George St, Toronto, ON M5S 2E4, Canada
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 09期
基金：
加拿大自然科学与工程研究理事会;
关键词：
N-center problem; variational method; topological constraints; 3-BODY PROBLEM; PARABOLIC TRAJECTORIES; SYMBOLIC DYNAMICS; 4-BODY PROBLEM; EQUAL MASSES; BODY PROBLEM; EXISTENCE; ORBITS; SYSTEMS;
D O I：
10.3034/dcds.2016023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the planar N-center problem, given a non-trivial free homotopy class of the configuration space satisfying certain conditions, we show that there is at least one collision-free T-periodic solution for any positive T. The direct method of calculus of variations is used and the main difficulty is to show that minimizers under certain topological constraints are free of collision.
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页码：5131 / 5162
页数：32
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