七次Z8等变平面Hamilton向量场的相图分类

• 来源期刊: 微分方程年刊（英文版）
• 学科: 数学
• 关键词: phase portrait equivariant vector field classification
• 年，卷（期）: 2001,（4）
• 页码范围: 385-390
• 页数: 6页
• 分类号: O1
• 语种: 英文

摘要

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,1,9,17,25,41,49, respectively. 2. The possible phase portraits of this vector field are fifty.