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Attractors of Discrete Controlled Systems in Metric Spaces

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Abstract

A new scenario is described for the creation of a strange attractor in discrete dynamical systems acting in metric spaces. We investigate attractors for ensembles of dynamical systems and attractors for controlled systems with programmed piecewise-constant controls taking finitely many values.

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Bobylev, N.A., Emel'yanov, S.V. & Korovin, S.K. Attractors of Discrete Controlled Systems in Metric Spaces. Computational Mathematics and Modeling 11, 321–326 (2000). https://doi.org/10.1023/A:1012501326705

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  • DOI: https://doi.org/10.1023/A:1012501326705

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