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Green–Samoilenko Function of Linear Extensions of Dynamical Systems on a Torus

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We study criteria for the existence of the Green–Samoilenko function for linear extensions of dynamical systems on a torus. The structures of Lyapunov functions and Green–Samoilenko functions are analyzed.

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Authors and Affiliations

  1. Silesia Technical University, Academichna Str., 2a, 44-100, Gliwice, Poland

    V. L. Kulyk

  2. “I. Sikorsky Kyiv Polytechnic Institute” National Technical University of Ukraine, Peremoha Ave., 37, Kyiv, 03056, Ukraine

    N. V. Stepanenko

Authors
  1. V. L. Kulyk
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  2. N. V. Stepanenko
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Correspondence to V. L. Kulyk.

Additional information

Translated from Neliniini Kolyvannya, Vol. 23, No. 4, pp. 476–483, October–December, 2020.

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Kulyk, V.L., Stepanenko, N.V. Green–Samoilenko Function of Linear Extensions of Dynamical Systems on a Torus. J Math Sci 263, 238–247 (2022). https://doi.org/10.1007/s10958-022-05922-9

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  • DOI: https://doi.org/10.1007/s10958-022-05922-9

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