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Bulletin of the London Mathematical Society Advance Access originally published online on May 21, 2008
Bulletin of the London Mathematical Society 2008 40(4):651-658; doi:10.1112/blms/bdn044
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© 2008 London Mathematical Society

A note on attractors with finite fractal dimension

Radoslaw Czaja

CAMGSD
Instituto Superior Técnico
Avenida Rovisco Pais
1049-001 Lisboa
Portugal
czaja@math.ist.utl.pt
and
Institute of Mathematics
University of Silesia
Bankowa 14
40-007 Katowice
Poland
rczaja@ux2.math.us.edu.pl

Messoud Efendiev

Zentrum Mathematik
Technische Universität Mänchen
Ingolstädter Landstrasse 1
85764 Neuherberg
Germany

Received 10 July 2007. Revision received 26 February 2008.

Conditions for the finite fractal dimension of precompact invariant sets are formulated and exponential attractors for discrete and continuous dynamical systems are constructed.

2000 Mathematics Subject Classification 35B41 (primary), 37L30, 37C45 (secondary).

The first author was supported by the fellowship of project POCI 2010/FEDER by CAMGSD, Instituto Superior Técnico, Lisbon.


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