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• W3041608352 abstract "We provide a unified analytic approach to study stationary states of controlled differential equations driven by rough paths, using the framework of random dynamical systems and random attractors. Part I deals with driving paths of finite $p$-variations with $1 leq p <2$ so that the integrals are interpreted in the Young sense. Our method helps to generalize recent results cite{GAKLBSch2010}, cite{ducGANSch18}, cite{duchongcong18} on the existence of the global pullback attractors for the generated random dynamical systems. We also prove sufficient conditions for the attractor to be a singleton, thus the pathwise convergence is in both pullback and forward senses." @default.
• W3041608352 created "2020-07-16" @default.
• W3041608352 creator A5051244598 @default.
• W3041608352 date "2019-05-18" @default.
• W3041608352 modified "2023-10-16" @default.
• W3041608352 title "Asymptotic stability of controlled differential equations. Part II: rough integrals" @default.
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• W3041608352 hasPublicationYear "2019" @default.
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