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Centering Conditions for the Poincar'{e} Systems $P(2,12) $ with a Uniformly Isochronous Center
XU Jin-Ya 1, LU Zheng-Yi 2 *
1. Chengdu Neusoft University, Dujiangyan, 611844, China
2. Institute of Computer Applications, Academia Sinica, Chengdu 610041, China
*Correspondence author
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Funding: Partially supported by a National Key Basic Research of China(No.Granted No. 204CB318000), Specialized Research Fund for the Doctoral Program of Higher Education of China (No.20115134110001)
Opened online: 7 January 2015
Accepted by: none
Citation: XU Jin-Ya, LU Zheng-Yi.Centering Conditions for the Poincar'{e} Systems $P(2,12) $ with a Uniformly Isochronous Center[OL]. [ 7 January 2015] http://en.paper.edu.cn/en_releasepaper/content/4626244
 
 
We obtain sufficient and necessary centering conditions for the Poincar'e system $P(2,12)$. The necessity of the condition is derived from the first twelve focal values by symbolic computation with Maple, and the sufficiency is proved by verifying the reversibility of the system.
Keywords:Poincar'e system, centering condition, symbolic computation
 
 
 

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