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A Noncollision Periodic Solution for N-Body Problems

โœ Scribed by Shiqing Zhang; Qing Zhou


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
99 KB
Volume
257
Category
Article
ISSN
0022-247X

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โœฆ Synopsis


Using variational minimization methods, we prove the existence of one noncollision periodic solution for N-body type problems whose potentials are pinched between two homogeneous potentials in R k (k โ‰ฅ 2).


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In this paper we prove the existence of a non-simultaneous collision T-periodic ลฝ . solution for any given T for a class of N-body type problems.