Multiple geometrically distinct closed noncollision orbits of fixed energy for N-body type problems with strong force potentials
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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.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
- Received by editor(s): January 11, 1995
- Communicated by: James Glimm
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3039-3046
- MSC (1991): Primary 34C25, 34C15, 58F05
- DOI: https://doi.org/10.1090/S0002-9939-96-03751-3
- MathSciNet review: 1371142