节点文献
一类三次系统的细奇点
THE FINE SINGULARITY OF A CLASS OF CUBIC SYSTEMS
【摘要】 本文研究了具有一个高阶奇点的系统(1.2),通过在实系统中引入奇点量的概念使焦点量和鞍点量得到统一,并且计算了系统(1.2)的各阶奇点量,证明了这样的系统存在至多三阶细奇点,而且同时存在细奇点的最大个数是四,当系统有四个细奇点时,它们可能是四个一阶细奇点或四个三阶细奇点。
【Abstract】 In this paper we study system( . ) with one higher order singularity, give defi-nition of singularity value and calculated all singularity value of system ( .2) ,show that sucha system can has four fine singularity of order 1 r four fine singularity of order 3 .
【关键词】 三次系统;
高阶奇点;
细奇点;
细焦点;
细鞍点;
【Key words】 Cubic systems; higher order singularity; fine singularity; fine focus; fine saddle;
【Key words】 Cubic systems; higher order singularity; fine singularity; fine focus; fine saddle;
- 【文献出处】 应用数学学报 ,ACTA MATHEMATICAE APPLICATAE SINICA , 编辑部邮箱 ,1999年02期
- 【分类号】O175
- 【被引频次】4
- 【下载频次】47