Generic families of matrix pencils and their bifurcation diagrams

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139321V. 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 pagesRepresentation Theory15A21; 15A22; 32G34Generic families of matrix pencils and their bifurcation diagramstext