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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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


Author: Zhang Shiqing
Journal: Proc. Amer. Math. Soc. 124 (1996), 3039-3046
MSC (1991): Primary 34C25, 34C15, 58F05
MathSciNet review: 1371142
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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.


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Additional Information

Zhang Shiqing
Affiliation: Department of Applied Mathematics, Chongqing University, Chongqing 630044, People’s Republic of China
Email: cul@cbistic.sti.ac.cn

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03751-3
PII: S 0002-9939(96)03751-3
Keywords: N-body type problems with fixed energy, geometrically distinct noncollision periodic orbits, equivariant Ljusternik-Schnirelmann theory
Received by editor(s): January 11, 1995
Communicated by: James Glimm
Article copyright: © Copyright 1996 American Mathematical Society