1971/04/30 by V I Arnold, Vladimir I. Arnold · 2 citations
Computer Science · Engineering · #Material Science and Thermodynamics #Matrix Theory and Algorithms
paper · doi:10.1070/rm1971v026n02abeh003827
crossref issued 1971/04/30 · crossref published 1971/04/30 · crossref published-print 1971/04/30 · openalex publication_date 1971/04/30 · crossref created 2005/11/08 · crossref published-online 2007/10/16 · crossref deposited 2024/10/03 · openalex created_date 2025/10/10 · crossref indexed 2026/07/27 · openalex updated_date 2026/07/31
Given a family of matrices smoothly depending on parameters of endomorphisms of a complex linear space, it is shown that there is a normal form to which the family can be reduced by the choice of a base smoothly depending on the parameters. The formulae obtained are applied to the investigation of bifurcation diagrams of families of matrices.