On the structure of the global attractor for non-autonomous difference equations with weak convergence

摘要

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 earlier papers to study the almost periodic (almost automorphic, recurrent) and asymptotically almost periodic (asymptotically almost automorphic, asymptotically recurrent) solutions of difference equations.View full textDownload full textKeywordsnon-autonomous dynamical systems, skew-product systems, cocycles, global attractor, dissipative systems, convergent systems2000 Mathematics Subject Classification:primary: 34A24, 34A30, 34B55, 34C11, 34C27, 37C55, 37C60, 37C65, 37C70, 37C75, 34D05, 34D20, 34D23, 34D45Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/10236198.2011.587413