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Multiple geometrically distinct closed noncollision orbits of fixed energy for N-body type problems with strong force potentials
Author(s):
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  geometrically distinct noncollision orbits with prescribed energy for a class of planar N-body type problems with strong force potentials.
References:
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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:
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
Copyright of article:
Copyright
1996,
American Mathematical Society
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