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arXiv · 0710.0949

Generic families of matrix pencils and their bifurcation diagrams

M. Isabel Garcia-Planas·Vladimir V. Sergeichuk
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Abstract

V. I. Arnold [Russian Math. Surveys 26, no. 2, 1971, 29-43] constructed smooth generic families of matrices with respect to similarity transformations depending smoothly on the entries of matrices and got bifurcation diagrams of such families with a small number of parameters. We extend these results to pencils of matrices.

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BibTeXRIS

M. Isabel Garcia-Planas, Vladimir V. Sergeichuk. 2007-10-04. Generic families of matrix pencils and their bifurcation diagrams. https://doi.org/10.1016/s0024-3795(00)00290-1

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