A generalized Grobman-Hartman theorem for nonautonomous dynamics (CROSBI ID 295825)
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Podaci o odgovornosti
Backes, Lucas ; Dragičević, Davor
engleski
A generalized Grobman-Hartman theorem for nonautonomous dynamics
The purpose of this note is to extend the recent generalized version of the Grobman- Hartman theorem established by Bernardes Jr. and Messaoudi from an autonomous to the nonautonomous dynamics. More precisely, we prove that any sufficiently small perturbation of a nonautonomous linear dynamics that admits a generalized exponential dichotomy is topologically conjugated to its linear part. In addition, we prove that under certain mild additional conditions, the conjugacy is in fact H\"older continuous.
generalized exponential dichotomies ; linearization ; Holder conjugacy
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Podaci o izdanju
73 (3)
2022.
411-431
objavljeno
0010-0757
2038-4815
10.1007/s13348-021-00327-4