| 高次退化的非线性向量场分支 |
| |
| 引用本文： | 陈芳跃.高次退化的非线性向量场分支[J].应用数学学报,1995(1). |
| |
| 作者姓名： | 陈芳跃 |
| |
| 作者单位： | 浙江师范大学数学系 |
| |
| 基金项目： | 中国科学院数学研究所开放委员会的资助 |
| |
| 摘 要： | 本文讨论了一个在分支值线性部分具两个零特征根且只有一个Ｊｏｒｄａｎ块，而非线性项为５次的平面向量场，得到了完整的轨线分支图。本文引入的讨论判断函数性质的方法具有一般性，因而也将适用于具更高次退化的非线性情况的研究。
|
| 关 键 词： | 非线性向量场，分支，判断函数，轨线分支图 |
BIFURCATIONS OF DEGENERATE HIGHER POWER NONLINEAR VECTOR FIELD |
| |
| CHEN FANGYUE.BIFURCATIONS OF DEGENERATE HIGHER POWER NONLINEAR VECTOR FIELD[J].Acta Mathematicae Applicatae Sinica,1995(1). |
| |
| Authors: | CHEN FANGYUE |
| |
| Abstract: | In this paper, we have discussed a plane vector field whose linear part has two zero eigenvalues with a Jordan block at the bifurcation point, and the nonlinear item is five powers. The whole orbit bifurcation graphs are obtined. The method with which we studied the judgement function is general, it will be useful in the research for the more degenerate vector field. |
| |
| Keywords: | Nonlinear vector field bifurcation judgement function orbit bifurcation grahps |
| 本文献已被 CNKI 等数据库收录！ |
