A note on differentiability of the conjugacy in a delayed version of Hartman-Grobman Theorem.

Autor: Gomez, Adrian, Carrasco, Dante, Elorreaga, Heli
Předmět:
Zdroj: Discrete & Continuous Dynamical Systems - Series B; Dec2022, Vol. 27 Issue 12, p7591-7606, 16p
Abstrakt: In this work we study the differentiability properties of the conjugation in the Barreira-Valls version of the Hartman-Grobman Theorem for Non-autonomous and Delayed systems. Indeed, we show that the conjugacy in the Barreira-Valls Theorem is a C 1 diffeomorphism if we impose some extra hypothesis related with the decay of the perturbation. [ABSTRACT FROM AUTHOR]
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