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math.DS2024
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…
math.DS2018
A Spectral Dichotomy Version of the Nonautonomous Markus--Yamabe Conjecture
Álvaro Castañeda, Gonzalo Robledo
In this article we introduce a nonautonomous version of the Markus--Yamabe conjecture from an exponential dichotomy spectrum point of view. We prove the validity of this conjecture…