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Abstract: Weak pullback attractors are defined for nonautonomous di#erence inclusions and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and pullback attraction here are required only for (at least) a single trajectory rather than all trajectories at each starting point. The concept is thus useful, in particular, for discrete time control systems. (Update)
Active bibliography (related documents): More All
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0.5: Attractors For The Stochastic 3d Navier-Stokes Equations - Marin-Rubio, Al. (Correct)
0.3: Towards A Theory Of Random Numerical Dynamics - Kloeden, Keller, SCHMALFUSS (1999) (Correct)
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BibTeX entry: (Update)
@misc{ kloeden-weak,
author = "P.E. Kloeden and P. Marín-Rubio",
title = "Weak Pullback Attractors of Nonautonomous Difference Inclusions",
url = "citeseer.ist.psu.edu/kloeden02weak.html" }
Citations (may not include all citations):92 Set--Valued Analysis (context) - Aubin, Frankowska - 1990
7 cocycle attractors and variable time--step discretization (context) - Kloeden, Schmalfu et al. - 1997
6 Criteria for the asymptotic stability of di#erential and di#.. (context) - Molchanov, Pyatnitskiy - 1989
4 Lyapunov functions for cocycle attractors in nonautonomous d.. - Kloeden - 1998
3 Semigruppi di Trasformazioni Multivoche (context) - Szego, Treccani - 1969
2 Global attractors for multivalued random dynamical systems (context) - Caraballo, Langa et al. - 2002
2 Asymptotic behaviour of nonautonomous difference inclusions (context) - Kloeden, Schmalfu - 1998
1 Pullback attractors in nonautonomous di#erence equations (context) - Kloeden - 2000
1 the Lyapunov stability of discrete--time processes modeled b.. (context) - Hui, Zak - 1988
1 numerics and chaotic dynamics (context) - Ochs, attractors - 2001
Documents on the same site (http://www.math.uni-frankfurt.de/~numerik/kloeden/papers.html):
MAPLE and MATLAB for Stochastic Differential Equations in.. - Higham, Kloeden (2001) (Correct)
Digitization of Nonautonomous Control Systems - Fabbri, Johnson, Kloeden (Correct)
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