EXTENDED SYSTEMS FOR MULTIPLE S-BREAKING TURNING POINTS IN Z_2×Z_2-SYMMETRIC NONLINEAR PROBLEMS  

作　　者：叶瑞松 杨忠华 Arshad Mahmood 

机构地区：[1]Institute of Mathematics,Shantou University,Shantou,Guang dOng [2]Department of Mathematics, Shanghai University of Science and [3]Department of Mathematics,Allama Iqbal Open University,H-8,ISLAMABAD,PAKISTAN

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》1995年第2期119-132,共14页

基　　金：This work is supported by NSFC amd Slate Major Key Project for Baslc Research

摘　　要：Making use of the Z2×Z2 symmetry,we could study the structure near multiple S-treaking turning points.In particular,we show that there exist two kinds of singular point path through double S breaking turning points and triple S bieaking turning points,one ts quadratic turning pornt path and one is quadratic pitch fork bifurcation point path.Some simple regular extended systems to corn pute double and triple S-breaking turning points are proposed.Numerical examples are alsoMaking use of the Z2×Z2 symmetry,we could study the structure near multiple S-treaking turning points.In particular,we show that there exist two kinds of singular point path through double S breaking turning points and triple S bieaking turning points,one ts quadratic turning pornt path and one is quadratic pitch fork bifurcation point path.Some simple regular extended systems to corn pute double and triple S-breaking turning points are proposed.Numerical examples are also green

关 键 词：Z2×Z2 symmetry double S-breaking TURNING POINTS triple S-breaking TURNING POINTS tetended systems 

分 类 号：O29[理学—应用数学]