3 papers
math.DS2026
Conditions for uniform --dichotomy in terms of uniform non criticality, expansiveness and via generalized Floquet theory
Heli Elorreaga, Gonzalo Robledo, David Urrutia-Vergara
In this article, we complete the study of the equivalences between the properties of --dichotomy, --noncriticality and --expansiveness of a linear nonautonomous ODE system…
math.DS2025
Smoothness of the Conjugacy in a Delayed Nonautonomous Hartman--Grobman Theorem via -Dichotomies
Álvaro Castañeda, Heli Elorreaga
We investigate the differentiability of the conjugacy in a nonautonomous version of the Hartman--Grobman Theorem for systems with finite delay, where the linear part satisfies a $μ…
math.CA2024
Uniform -dichotomies: noncritical uniformity and expansivity
Heli Elorreaga, Juan Peña, Gonzalo Robledo
The property of exponential dichotomy can be seen as a generalization of the hyperbolicity condition for non autonomous linear finite dimensional systems of ordinary differential e…