Global and pullback attractors of set-valued skew product flows

We investigate the asymptotic behaviour of a general set-valued skew product flow (SVSPF), that is, a set-valued cocycle mapping (coming from a non-autonomous differential equation or inclusion) driven by another, autonomous, system. Absorptivity conditions which ensure the existence of several type...

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Published in:Annali di matematica pura ed applicata 2006-01, Vol.185 (S5), p.S23-S45
Main Authors: Caraballo, T., Kloeden, P.E., Marín-Rubio, P.
Format: Article
Language:English
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Absorptivity
Asymptotic properties
Attractors (mathematics)
Differential equations
Mapping
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description We investigate the asymptotic behaviour of a general set-valued skew product flow (SVSPF), that is, a set-valued cocycle mapping (coming from a non-autonomous differential equation or inclusion) driven by another, autonomous, system. Absorptivity conditions which ensure the existence of several types of attractors for such set-valued systems are established. The topological properties of and relations between these attractors, in forward and pullback senses and their strong and weak versions are analyzed. Several illustrative examples are also provided.
doi_str_mv 10.1007/s10231-004-0135-3
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subjects Absorptivity
Asymptotic properties
Attractors (mathematics)
Differential equations
Mapping
title Global and pullback attractors of set-valued skew product flows
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