sdlmx 发表于 2007-9-22 10:40

请问Sotomayor 定理的a3条件是什么意思？

在判定saddle－node bifurcation的时候有个著名的定理是Sotomayor Theorem

Let dot(x)=f(x,u) be a system of differential equations in Rn. When u=u0, assume that there is an equilibrium p for which the following hypotheses are satisfied:
a1: Dxf(p) has a simple eigenvalue o with right eigenvector v and left eigenvector w.
a3: w(Dxxf(p)(v,v)) 不等于零.

sdlmx 发表于 2007-9-25 16:31

竟然没有人会啊
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