Generic families of matrix pencils and their bifurcation diagrams

Details Generic families of matrix pencils and their bifurcation diagrams Generic families of matrix pencils and their bifurcation diagrams

2007-10-04

arxiv.org/abs/0710.0949v1

Linear Algebra Appl. 332-334 (2001) 165-179

Mathematics

Representation Theory

19 pages

Scientific paper

10.1016/S0024-3795(00)00290-1

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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