On the linearization of infinite-dimensional random dynamical systems (CROSBI ID 327946)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Backes, Lucas ; Dragičević, Davor
engleski
On the linearization of infinite-dimensional random dynamical systems
We present a new version of the Grobman-Hartman's linearization theorem for random dynamics. Our result holds for infinite dimensional systems whose linear part is not necessarily invertible. In addition, by adding some restrictions on the non-linear perturbations, we don't require for the linear part to be nonuniformly hyperbolic in the sense of Pesin but rather (besides requiring the existence of stable and unstable directions) allow for the existence of a third (central) direction on which we don't prescribe any behaviour for the dynamics. Moreover, under some additional nonuniform growth condition, we prove that the conjugacies given by the linearization procedure are H\"older continuous when restricted to bounded subsets of the space
random dynamical systems ; linearization ; Holder continuity
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Podaci o izdanju
296 (8)
2023.
3173-3191
objavljeno
0025-584X
1522-2616
10.1002/mana.202100510