22 citations · 31 across the 4 of their papers we have counts for
3 papers · 1 filter
Generic families of matrix pencils and their bifurcation diagrams
M. Isabel Garcia-Planas, Vladimir V. Sergeichuk
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 ent…
Simplest miniversal deformations of matrices, matrix pencils, and contragredient matrix pencils
M. Isabel Garcia-Planas, Vladimir V. Sergeichuk
V. I. Arnold [Russian Math. Surveys 26 (2) (1971) 29-43] constructed a simple normal form for a family of complex n-by-n matrices that smoothly depend on parameters with respect to…
Rigid systems of second-order linear differential equations
M. Isabel Garcia-Planas, M. Dolors Magret, Vladimir V. Sergeichuk +1
We say that a system of differential equations d^2x(t)/dt^2=Adx(t)/dt+Bx(t)+Cu(t), in which A and B are m-by-m complex matrices and C is an m-by-n complex matrix, is rigid if it ca…