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Method for constructing minimal sets of dynamical systems

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Abstract

We present a method for constructing minimal sets of classical dynamical systems. We show that, in a compact metric space, this method permits one to find all minimal sets contained in the limit sets of motions.

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Authors and Affiliations

  1. Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia

    A. P. Afanas’ev & S. M. Dzyuba

  2. Tver State Technical University, Tver, Russia

    A. P. Afanas’ev & S. M. Dzyuba

Authors
  1. A. P. Afanas’ev
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  2. S. M. Dzyuba
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Corresponding author

Correspondence to A. P. Afanas’ev.

Additional information

Original Russian Text © A.P. Afanas’ev, S.M. Dzyuba, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 7, pp. 835–841.

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Afanas’ev, A.P., Dzyuba, S.M. Method for constructing minimal sets of dynamical systems. Diff Equat 51, 831–837 (2015). https://doi.org/10.1134/S0012266115070010

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  • DOI: https://doi.org/10.1134/S0012266115070010

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