Multiple geometrically distinct closed noncollision orbits of fixed energy for N-body type problems with strong force potentials期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Multiple geometrically distinct closed noncollision orbits of fixed energy for N-body type problems with strong force potentials

Authors:	Zhang Shiqing

Institution:	Department of Applied Mathematics, Chongqing University, Chongqing 630044, People's Republic of China

Abstract:	Using the equivariant Ljusternik-Schnirelmann theory, we prove that there are at least $2(N-1)2^{N-2}$ geometrically distinct noncollision orbits with prescribed energy for a class of planar N-body type problems with strong force potentials.

Keywords:	N-body type problems with fixed energy geometrically distinct noncollision periodic orbits equivariant Ljusternik-Schnirelmann theory

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