Nonplanar and noncollision periodic solutions for $N$-body problems

Shiqing Zhang; Qing Zhou

doi:10.3934/dcds.2004.10.679

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2004, Volume 10, Issue 3: 679-685. Doi: 10.3934/dcds.2004.10.679

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Nonplanar and noncollision periodic solutions for $N$-body problems

Shiqing Zhang^1, and
Qing Zhou²

1.
Department of Mathematics, Yangzhou University, Yangzhou, 225002
2.
Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030

Received: October 2002

Revised: September 2003

Published: July 2004

Abstract / Introduction Related Papers Cited by

Abstract

For certain Newtonian $N$-body problems in $\mathbf R^3$, we proved the existence of new symmetrical noncollision periodic solutions.

Keywords:

$N$-body problems,
nonplanar and noncollision periodic solutions,
variational methods.

Mathematics Subject Classification: 70F10, 58F05, 34C25.

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