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Separation of variables in linear extensions of dynamical systems on tori

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Abstract

We study the problem of separation of variables in linear extensions of dynamical systems on tori.

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References

  1. Yu. A. Mitropol’skii, A. M. Samoilenko, and V. L. Kulik,Investigation of the Dichotomy of Linear Systems of Differential Equations by Using Lyapunov Functions [in Russian], Naukova Dumka, Kiev 1990.

    Google Scholar 

  2. A. M. Samoilenko, V. A. Mal’kov, and S. I. Trofimchuk, “Decomposability of linear extensions of dynamical systems on tori,”DokL Akad. Nauk Ukr. SSR, Ser A, No. 11, 19–22 (1982).

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  3. V. I. Tkachenko, “On the block diagonalization of almost periodic systems,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 6, 18–20 (1983).

    Google Scholar 

  4. A. M. Samoilenko, “Quasiperiodic solutions of systems of linear algebraic equations with quasiperiodic coefficients,” in:Analytical Methods of Investigation of Solutions of Nonlinear Differential Equations, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1975), pp. 5–26.

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Authors
  1. O. A. Burylko
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Burylko, O.A. Separation of variables in linear extensions of dynamical systems on tori. Ukr Math J 48, 146–150 (1996). https://doi.org/10.1007/BF02390992

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  • DOI: https://doi.org/10.1007/BF02390992

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