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A generalized Grobman-Hartman theorem for nonautonomous dynamics - MaRDI portal

A generalized Grobman-Hartman theorem for nonautonomous dynamics (Q2164948)

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A generalized Grobman-Hartman theorem for nonautonomous dynamics
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    A generalized Grobman-Hartman theorem for nonautonomous dynamics (English)
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    18 August 2022
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    The authors extend an earlier generalized Hartman-Grobman theorem due to \textit{N. C. Bernardes jun.} and \textit{A. Messaoudi} [Proc. Am. Math. Soc. 148, No. 10, 4351--4360 (2020; Zbl 1450.37018)] to nonautonomous equations whose linear part satisfies a generalized exponential dichotomy. The conjugacy is shown to be Hölder continuous.
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    generalized exponential dichotomy
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    linearization
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    Hölder conjugacy
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