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Investigation of a discrete dynamical system in a neighborhood of the invariant torus

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Ukrainian Mathematical Journal Aims and scope

Abstract

We study the behavior of a discrete dynamical system in a neighborhood of the invariant torus for the case where the trajectories may have arbitrary structure on the torus and establish conditions under which the system can be reduced to the canonical form in the indicated neighborhood.

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References

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Authors and Affiliations

  1. Dragomanov Ukrainian Pedagogical University, Kiev

    M. V. Samoilenko

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  1. M. V. Samoilenko
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 12, pp. 1676–1685, December, 1995.

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Samoilenko, M.V. Investigation of a discrete dynamical system in a neighborhood of the invariant torus. Ukr Math J 47, 1916–1927 (1995). https://doi.org/10.1007/BF01060965

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  • DOI: https://doi.org/10.1007/BF01060965

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