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Dependence of Topological Conjugacies on Parameters

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Abstract

In this note we establish the smooth dependence on parameters of the conjugacies in the Grobman–Hartman, in the general case of perturbations of nonuniform exponential dichotomies. The smoothness is obtained via the fiber contraction principle. We first consider the case of discrete time and then we obtain a corresponding result in the case of continuous time, via discretization.

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  1. Departamento de Matemática, Instituto Superior Técnico, 1049-001, Lisbon, Portugal

    Luis Barreira & Claudia Valls

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  1. Luis Barreira
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  2. Claudia Valls
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Correspondence to Luis Barreira.

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Barreira, L., Valls, C. Dependence of Topological Conjugacies on Parameters. J Dyn Diff Equat 22, 787–803 (2010). https://doi.org/10.1007/s10884-010-9179-9

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  • DOI: https://doi.org/10.1007/s10884-010-9179-9

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