On the Structure of the Global Attractor for Non-autonomous Difference Equations with Weak Convergence

2011/04/28 by Tomás Caraballo, Caraballo, Tomás, David Cheban +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1104.5317

To appear in Journal of Difference Equations and Applications

arxiv created 2011/04/28 · arxiv updated 2011/04/29

Abstract

The aim of this paper is to describe the structure of global attractors for non-autonomous difference systems of equations with recurrent (in particular, almost periodic) coefficients. We consider a special class of this type of systems (the so--called weak convergent systems). We study this problem in the framework of general non-autonomous dynamical systems (cocycles). We apply the general results obtained in our early papers to study the almost periodic (almost automorphic, recurrent) and asymptotically almost periodic (asymptotically almost automorphic, asymptotically recurrent) solutions of difference equations.

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