July  2004, 10(3): 679-685. doi: 10.3934/dcds.2004.10.679

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

1. 

Department of Mathematics, Yangzhou University, Yangzhou, 225002, China

2. 

Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, China

Received  October 2002 Revised  September 2003 Published  January 2004

For certain Newtonian $N$-body problems in $\mathbf R^3$, we proved the existence of new symmetrical noncollision periodic solutions.
Citation: Shiqing Zhang, Qing Zhou. Nonplanar and noncollision periodic solutions for $N$-body problems. Discrete and Continuous Dynamical Systems, 2004, 10 (3) : 679-685. doi: 10.3934/dcds.2004.10.679
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