二重高阶对称破缺分歧点和它们的数值确定

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Double High Order S-Breaking Bifurcation Points and Their Numerical Determination

1. Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China;
2. Shantou University, Shantou 515063, P. R. China

摘要: 本文考虑带Z_××Z₂对称性的两参数非线性的二重高阶对称破缺分歧点。利用对称性,我们提出了相应的正则扩张系统来确定这类分歧点。同时指出存在两条平方音叉式分歧点的道路通过该点。
- Z₂× /
- Z₂对称 /
- 二重高阶对称破缺分歧点 /
- 扩张系统
Abstract: We consider double high order S-breaking bifurcation points of two-Parameter dependent nonlinear problems with Z₂×Z₂-symmetry. Because of the underlying symmetry we could propose some regular extended systems to determine double high order S-breaking bifurcation points. and we could also show that there exist two quadratic pitchfork bifurcation point paths passing through the point being considered.
- Z₂× /
- Z₂-symmetry /
- double high order S-breaking bifurcation point /
- extended system

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