# American Institute of Mathematical Sciences

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 & Continuous Dynamical Systems, 2004, 10 (3) : 679-685. doi: 10.3934/dcds.2004.10.679
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