BIFURCATION OF SINGULAR POINTS NEAR A DOUBLE FOLD POINT INZ_2 -SYMMETRIC NONLINEAR EQUATIONS  

作　　者：吴微 吴柏生 李荣华 

机构地区：[1]Department of Mathematics, Jilin University, Changchun 130023,PRC

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》1993年第1期101-115,共15页

摘　　要：We consider the bifurcation of singular points near a double fold point in Z2 -symmetric nonlinear equations with two parameters,where the linearization has a two dimensional null space spanned by a symmetric null vector and an ami-symmetric null vector. In particular, we show the existence of a turning point path and a pitchfork point path passing ihrough the double fold point and they are the only singular points nearby. Their nondegeneracy is confirmed. A supporting numerical example is also provided. The main tools for our analysis as well as the compulation are some extended systems.We consider the bifurcation of singular points near a double fold point in Z2 -symmetric nonlinear equations with two parameters,where the linearization has a two dimensional null space spanned by a symmetric null vector and an ami-symmetric null vector. In particular, we show the existence of a turning point path and a pitchfork point path passing ihrough the double fold point and they are the only singular points nearby. Their nondegeneracy is confirmed. A supporting numerical example is also provided. The main tools for our analysis as well as the compulation are some extended systems.

关 键 词：DOUBLE FOLD POINTS Z2 -symmetry BIFURCATION of nonlinear equations singular POINTS turning POINTS pitchfork POINTS extended systems. 

分 类 号：O1[理学—数学]