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Discrete dynamical systems with invariant asymptotically stable toroidal manifold

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Abstract

We obtain conditions for asymptotic stability of quasiperiodic trajectories of discrete dynamical systems in the case of infinite-dimensional Banach space.

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Authors and Affiliations

  1. Academician, Ukrainian Academy of Sciences, USSR

    A. M. Samoilenko & V. V. Slyusarchuk

Authors
  1. A. M. Samoilenko
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  2. V. V. Slyusarchuk
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 4, pp. 466–471, April, 1999.

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Samoilenko, A.M., Slyusarchuk, V.V. Discrete dynamical systems with invariant asymptotically stable toroidal manifold. Ukr Math J 51, 518–524 (1999). https://doi.org/10.1007/BF02591756

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