Random attractors for dissipative systems with rough noises
type: Item
instance of: scholarly article
title: Random attractors for dissipative systems with rough noises
zbMATH Open document ID: 1496.37051
author: Luu Hoang Duc
published in: Discrete and Continuous Dynamical Systems
publication date: 2022-02-28T00:00:00Z
review text: The author studies the long-term behavior of the dynamics generated by rough differential equations with Hölder driving noises. The existence and upper semi-continuity of the global pullback attractor for certain dissipative systems with noises is proved. Further, it is shown that if one starts with a strictly disspative system, then the random attractor is a singleton if the perturbations possess sufficiently small noise intensity.
reviewed by: Marks Ruziboev
Mathematics Subject Classification ID: 37H10
Mathematics Subject Classification ID: 37H30
Mathematics Subject Classification ID: 60G22
Mathematics Subject Classification ID: 60G40
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 7481824
zbMATH Keywords: stochastic differential equations
zbMATH Keywords: rough path theory
zbMATH Keywords: rough integrals
zbMATH Keywords: random dynamical systems
zbMATH Keywords: random attractors
zbMATH Keywords: stochastic perturbation
zbMATH Keywords: stochastic stability
MaRDI profile type: Publication
full work available at URL: dcds.2021176
OpenAlex ID: W3112605337
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DOI: 10.3934/DCDS.2021176
description: scientific article; zbMATH DE number 7481824