2 citations · 2 across the 4 of their papers we have counts for
6 papers
Smoothness of linearization by mixing parameters of dichotomy, bounded growth and perturbation
Álvaro Castañeda, Ignacio Huerta, Gonzalo Robledo
We study the smoothness properties of a global and nonautonomous topological conjugacy between a linear system and a quasilinear perturbation. The linear system exhibits a nonunifo…
Controllability and feedback stabilizability in a nonuniform framework
Ignacio Huerta, Pablo Monzón, Gonzalo Robledo
We propose a new controllability property for linear time varying control systems in finite dimension: the nonuniform complete controllability, which is halfway between the classic…
The dichotomy spectrum approach for a global nonuniform asymptotic stability problem: Triangular case via uniformization
Álvaro Castañeda, Ignacio Huerta, Gonzalo Robledo
By considering the nonuniform exponential dichotomy spectrum, we introduce a global asymptotic nonuniform stability conjecture for nonautonomous differential systems, whose restric…
An application of a nonuniform global stability problem to the study of parametrized polynomial automorphisms
Álvaro Castañeda, Ignacio Huerta, Gonzalo Robledo
We propose a handful of definitions of injectivity for a parametrized family of maps and study its link with a global nonuniform stability conjecture for nonautonomous differential…
Linearization of a nonautonomous unbounded system with nonuniform contraction: A Spectral Approach
I. Huerta
For a nonautonomous linear system with nonuniform contraction, we construct a topological equivalence between this system and an unbounded nonlinear perturbation. This topological…
Nonuniform Almost Reducibility of Nonautonomous Linear Differential Equations
Álvaro Castañeda, Ignacio Huerta
We prove that a linear nonautonomous differential system with nonuniform hyperbolicity on the half line can be expressed as diagonal system with a perturbation which is small enoug…