Generic families of matrix pencils and their bifurcation diagrams

Garcia-Planas, M. Isabel; Sergeichuk, Vladimir V.

Generic families of matrix pencils and their bifurcation diagrams

Authors

Description

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.
19 pages