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A uniformly exponential random forward attractor which is not a pullback attractor

Name: A uniformly exponential random forward attractor which is not a pullback attractor
Creator: Hans Crauel
Keywords: random dynamical system, random attractor, Infinite-dimensional random dynamical systems; stochastic equations, 0101 mathematics, 01 natural sciences, Generation, random and stochastic difference and differential equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2002Publisher:Springer Science and Business Media LLCJournal:Archiv der Mathematik, volume 78, pages 329-336 (issn: 0003-889X, eissn: 1420-8938,

Authors: Hans Crauel;

doi: 10.1007/s00013-002-8254-9

A uniformly exponential random forward attractor which is not a pullback attractor

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Abstract

The author constructs an example of a random forward attractor for a random dynamical system (RDS) that is not a pullback attractor which is one of 3 possible notions of an attractor one can naturally define for RDS (and which all coincide for deterministic dynamical systems).

Related Organizations

Ilmenau University of Technology
Germany

Keywords

random dynamical system, random attractor, Infinite-dimensional random dynamical systems; stochastic equations, Generation, random and stochastic difference and differential equations

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