This paper is a study of the global structure of the attractors of a dynamical system. The dynamical system is associated with an oriented graph called a Symbolic Image of the system. The symbolic image can be considered as a finite discrete approximation of the dynamical system flow. Investigation of the symbolic image provides an opportunity to localize the attractors of the system and to estimate their domains of attraction. A special sequence of symbolic images is considered in order to obtain precise knowledge about the global structure of the attractors and to get filtrations of the system.
@article{bwmeta1.element.bwnjournal-article-bcpv47i1p173bwm,
author = {Osipenko, George},
title = {Construction of attractors and filtrations},
journal = {Banach Center Publications},
volume = {50},
year = {1999},
pages = {173-192},
zbl = {0942.37001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv47i1p173bwm}
}
Osipenko, George. Construction of attractors and filtrations. Banach Center Publications, Tome 50 (1999) pp. 173-192. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv47i1p173bwm/
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