BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Analyzing Hamiltonian spectral problems via the Krein matrix Kapitula, Todd


The Krein matrix is a matrix-valued function which can be used to study Hamiltonian spectral problems. Akin to the Evans matrix, it has the property that it is singular when evaluated at an eigenvalue. Unlike the Evans matrix, it is not analytic, but is instead meromorphic. I will briefly go over its construction, and then apply it to the study of spectral stability of small periodic waves for a couple of equations.

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