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CLASSIFICATION OF THE PHASE PORTRAIT FOR PLANAR Z₈-EQUIVARIANT HAMILTONIAN SYSTEM OF DEGREE 7

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【Author】 Yang Lijun ， Liu Zhengrong，Wu Xiaoming (Dept. of Math., Zhongshan University, Guangzhou 510275 Dept. of Math., Yunnan University, Kunming 650091)

【Abstract】 In this paper, we consider the Z8-equivariant planar Hamiltonian vector field of degree 7. By using the qualitative and numerical computation, we divide the parameters space into six-parameter-space. And we obtain the results as following : 1. There are seven cases of the number of fixed point of above vector field in finite part, that is, 1,9,l7,25,4l,49, respectively. 2. The possible phase portraits of this vector field are fifty.更多还原

【关键词】 phase portrait； equivariant vector field； classification；
【Key words】 phase portrait； equivariant vector field； classification；

【基金】 National Natural Science Fundation of P.R.China (10071097).

【文献出处】 Annals of Differential Equations ,微分方程年刊(英文版) , 编辑部邮箱 ,2001年04期

【分类号】O175
【下载频次】18

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CLASSIFICATION OF THE PHASE PORTRAIT FOR PLANAR Z8-EQUIVARIANT HAMILTONIAN SYSTEM OF DEGREE 7

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CLASSIFICATION OF THE PHASE PORTRAIT FOR PLANAR Z₈-EQUIVARIANT HAMILTONIAN SYSTEM OF DEGREE 7