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

DOI10.1080/10236198.2011.587413zbMath1284.37013arXiv1104.5317OpenAlexW2046405269MaRDI QIDQ2881926

David N. Cheban, Tomás Caraballo Garrido

Publication date: 3 May 2012

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.5317

zbMATH Keywords

global attractordissipative systemscocyclesnon-autonomous dynamical systemsconvergent systemsskew-product systems

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Additive difference equations (39A10) Attractors of solutions to ordinary differential equations (34D45) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Topological dynamics of nonautonomous systems (37B55)

Cites Work

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• Levitan/Bohr almost periodic and almost automorphic solutions of second order monotone differential equations
• On the structure of the global attractor for non-autonomous dynamical systems with weak convergence
• Ultimate boundedness does not imply almost periodicity

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