A generalized Grobman–Hartman theorem for nonautonomous dynamics

نویسندگان

چکیده

The purpose of this note is to extend the recent generalized version Grobman-Hartman theorem established by Bernardes Jr. and Messaoudi from an autonomous nonautonomous dynamics. More precisely, we prove that any sufficiently small perturbation a linear dynamics admits exponential dichotomy topologically conjugated its part. In addition, under certain mild additional conditions, conjugacy in fact H\"older continuous.

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ژورنال

عنوان ژورنال: Collectanea Mathematica

سال: 2021

ISSN: ['2038-4815', '0010-0757']

DOI: https://doi.org/10.1007/s13348-021-00327-4