| BIFURCATION OF SINGULAR POINTS NEAR A DOUBLE FOLD POINT INZ_2 -SYMMETRIC NONLINEAR EQUATIONS |
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| 引用本文： | 吴微,吴柏生,李荣华. BIFURCATION OF SINGULAR POINTS NEAR A DOUBLE FOLD POINT INZ_2 -SYMMETRIC NONLINEAR EQUATIONS[J]. 高等学校计算数学学报(英文版), 1993, 0(1) |
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| 作者姓名： | 吴微 吴柏生 李荣华 |
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| 作者单位： | Department of Mathematics，Jilin University，Changchun 130023，PRC，Department of Mathematics，Jilin University，Changchun 130023，PRC，Department of Mathematics，Jilin University，Changchun 130023，PRC |
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| 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.
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BIFURCATION OF SINGULAR POINTS NEAR A DOUBLE FOLD POINT INZ_2 -SYMMETRIC NONLINEAR EQUATIONS |
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| Wu Wei. BIFURCATION OF SINGULAR POINTS NEAR A DOUBLE FOLD POINT INZ_2 -SYMMETRIC NONLINEAR EQUATIONS[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 1993, 0(1) |
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| Authors: | Wu Wei |
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| Affiliation: | Wu Wei Department of Mathematics,Jilin University,Changchun 130023,PRC Wu Bai-shcng Department of Mathematics,Jilin University,Changchun 130023,PRC Li Rong-hua Department of Mathematics,Jilin University,Changchun 130023,PRC |
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| Abstract: | 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. |
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| Keywords: | Double fold points Z2 -symmetry bifurcation of nonlinear equations singular points turning points pitchfork points extended systems. |
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