3 papers
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.DS2025
Discrete -dichotomy spectrum: beyond uniformity and new insights
Álvaro Castañeda, Claudio A. Gallegos, Néstor Jara
We develop spectral theorems for nonautonomous linear difference systems, considering different types of -dichotomies, both uniform and nonuniform. In the nonuniform case, intri…
math.DS2021
A note on the differentiability of Palmer's topological equivalence for discrete systems
Álvaro Castañeda, Néstor Jara
A linear system of difference equations and a nonlinear perturbation are considered. We propose sufficient conditions to ensure that the homeomorphism of topological equivalence be…