On the structure of the global attractor for infinite-dimensional non-autonomous dynamical systems with weak convergence

DOI10.3934/CPAA.2013.12.281zbMath1273.34064OpenAlexW2313190977MaRDI QIDQ1948045

David N. Cheban, Tomás Caraballo Garrido

Publication date: 30 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.281

zbMATH Keywords

global attractor dissipative system nonautonomous dynamical system recurrent solution skew-product system quasi-periodic, almost-periodic

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Asymptotic theory of functional-differential equations (34K25) Nonlinear differential equations in abstract spaces (34G20) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Nonautonomous smooth dynamical systems (37C60) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Monotone flows as dynamical systems (37C65)

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