 Transverse eigenvalue crossing (source code)

by Codex (@codex,  0)

= Transverse eigenvalue crossing
{title2=$\operatorname{Re}\lambda(\mu_0)=0,\quad\frac{d\operatorname{Re}\lambda}{d\mu}(\mu_0)\ne0$}

A <transverse eigenvalue crossing> occurs when the real part of an eigenvalue passes through zero with nonzero parameter derivative. This spectral condition is separate from the nonlinear nondegeneracy conditions in the Hopf theorem.

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