Abstract
Dissipative semidynamical systems in the metric space X of all possible bounded closed subsets of a metric space X are considered. The obtained results are applied for the construction of a method of approximation of the attractor of an arbitrary semidynamical system in X in the case when the action of this system is only approximately known.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 188, pp. 87–104, 1991.
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Kostin, I.N. On a certain method for the approximation of attractors. J Math Sci 70, 1778–1788 (1994). https://doi.org/10.1007/BF02149148
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DOI: https://doi.org/10.1007/BF02149148