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On Invariant Tori of Itô Stochastic Systems

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Ukrainian Mathematical Journal Aims and scope

Abstract

By using the Green–Samoilenko function, we establish conditions for the existence of invariant sets of Itô stochastic systems that are extensions of dynamical systems on a torus.

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REFERENCES

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. M. Samoilenko

  2. Shevchenko Kiev National University, Kiev

    A. N. Stanzhitskii

Authors
  1. A. M. Samoilenko
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  2. A. N. Stanzhitskii
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Samoilenko, A.M., Stanzhitskii, A.N. On Invariant Tori of Itô Stochastic Systems. Ukrainian Mathematical Journal 54, 613–628 (2002). https://doi.org/10.1023/A:1021087311979

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  • DOI: https://doi.org/10.1023/A:1021087311979

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