分歧点的多项式算子  

Polynomials Operator of Bifurcation Points

作　　者：熊波[1] 

机构地区：[1]中南财经政法大学信息学院,湖北武汉430070

出　　处：《武汉大学学报（理学版）》2009年第2期134-140,共7页Journal of Wuhan University:Natural Science Edition

基　　金：上海市教委重点学科项目(00JC14507);上海市科委启明星计划项目(03QA14036)

摘　　要：针对在分歧点的计算过程中如何选择合适的扩展系统这一问题,本文通过研究折叠点,音叉式分歧点的多项式算子,利用逐项求导的方式,比较了它们的多项式算子,从而得出一个判断高阶折叠点和音叉点的统一的多项式算子,为解决分歧点计算过程中选择扩展系统的困难创造了条件.In order to choose a regular extended system in computing bifurcation points. This article studies their polynomial operators, using the method of term by term. By comparing the polynomial operators of folds and pitchfork bifurcation, we obtain a uniform polynomial operator to judge the higher order folds and pitchfork bifurcation points, which sets the stage for choosing appropriate regular extended systems for detecting them.

关 键 词：折叠点 音叉式分歧点 多项式算子 

分 类 号：O175[理学—数学]