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Attractors of discrete controlled systems in metric spaces

  • Control and Optimization in Nonlinear Systems
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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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References

  1. J. L. Kelly,General Topology [Russian translation]. Nauka, Moscow (1968).

    Google Scholar 

  2. V. V. Fedorchuk and V. V. Filippov,General Topology [in Russian], MGU, Moscow (1988).

    Google Scholar 

  3. L. A. Lyusternik and V. I. Sobolev,Elements of Functional Analysis [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  4. M. F. Barnsley and A. D. Sloan, “A better way to compress images,”Byte, No. 3 (1988).

  5. V. A. Bondarenko and V. L. Dol'nikov, “Fractal image compression according to Barnsley-Sloan,”Avtomat. Telemekh., No. 5 (1995).

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Translated from Prikladnaya Matematika i Informatika, No. 3, pp. 5–10, 1999.

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Bobylev, N.A., Emel'yanov, S.V. & Korovin, S.K. Attractors of discrete controlled systems in metric spaces. Comput Math Model 11, 321–326 (2000). https://doi.org/10.1007/BF02359296

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  • DOI: https://doi.org/10.1007/BF02359296

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