Heli Elorreaga

activity

20232026

collaborators

Showing math.DSShow all

3 papers · 1 filter

math.DS2026

Conditions for uniform $h$ --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 $h$ --dichotomy, $h$ --noncriticality and $h$ --expansiveness of a linear nonautonomous ODE system…

math.DS2025

$C^{1}$ Smoothness of the Conjugacy in a Delayed Nonautonomous Hartman--Grobman Theorem via $μ$ -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.DS2023

Exponential dichotomy for a class of asymptotically autonomous delayed differential equations

Heli Elorreaga, Adrian Gomez

In this work we give a criterion to have an exponential dichotomy over all $R$ for delayed systems $x^{'} (t) = L (t) x_{t}$ , where $L_{\pm} = lim_{t \to \pm \infty} L (t)$ , and the syste…

Conditions for uniform h--dichotomy in terms of uniform non criticality, expansiveness and via generalized Floquet theory

C1 Smoothness of the Conjugacy in a Delayed Nonautonomous Hartman--Grobman Theorem via μ-Dichotomies

Exponential dichotomy for a class of asymptotically autonomous delayed differential equations

Conditions for uniform $h$ --dichotomy in terms of uniform non criticality, expansiveness and via generalized Floquet theory

$C^{1}$ Smoothness of the Conjugacy in a Delayed Nonautonomous Hartman--Grobman Theorem via $μ$ -Dichotomies