Limitations of pullback attractors for processes

DOI10.1080/10236198.2011.578070zbMath1241.39004OpenAlexW2154702089MaRDI QIDQ2881939

Martin Rasmussen, Peter E. Kloeden, Christian Poetzsche

Publication date: 3 May 2012

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

Full work available at URL: https://doi.org/10.1080/10236198.2011.578070

zbMATH Keywords

dynamical systemsmetric spacediscrete timepullback attractornonautonomous difference equationskew product flowtwo-parameter semigroup

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Discrete version of topics in analysis (39A12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological dynamics of nonautonomous systems (37B55) Stability theory for difference equations (39A30)

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Cites Work

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• Dynamics of a class of ODEs more general than almost periodic
• Attractivity and bifurcation for nonautonomous dynamical systems
• Geometric theory of discrete nonautonomous dynamical systems
• Eventual stability in general control systems
• Asymptotic invariance and limit sets of general control systems
• Pullback attractors in nonautonomous difference equations
• Morse decompositions of nonautonomous dynamical systems

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