中心-焦点型全三次系统参数化简与新矩阵法  

A New Algorithms and Matrix Simplification of A Center-Focus Cubic System

作　　者：万维明[1] 迟晓恒[1] 

机构地区：[1]大连交通大学数理系,辽宁大连116028

出　　处：《大连铁道学院学报》2004年第4期8-10,共3页Journal of Dalian Railway Institute

摘　　要：为简化中心-焦点型微分方程系统细焦点的计算,定义两种新的矩阵运算方法,采用可逆实对称矩阵变换,将中心-焦点型全三次系统化简到最多含有13个参数的系统,且缺少的项至少在齐二次项中发生.为进一步计算系统焦点量做准备.In order to simplify the calculation of week saddle system for center-focus differential equations, two new algorithms of the matrix are defined. These two algorithms simplify the cubic system of a center-focus type to a system containing less than 13 parameters. By using the real invertible symmetric matrix transformation, the missing term will be produced in the second order homogeneous term for the further preparation of focus values computation.

关 键 词：三次系统 中心 实对称矩阵 焦点量 细焦点 可逆 微分方程 化简 定义 简化 

分 类 号：O241.6[理学—计算数学]