C1 Smoothness of the Conjugacy in a Delayed Nonautonomous Hartman--Grobman Theorem via μ-Dichotomies
Abstract
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-dichotomy. Under suitable conditions on the nonlinear perturbation, the conjugacy is shown to be a C1 diffeomorphism.
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