We study Lyapunov functions in the form of a linear combination of quadratic forms and investigate the regularity conditions for linear extensions of dynamical systems on a torus.
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Translated from Neliniini Kolyvannya, Vol. 26, No. 1, pp. 77–94, January–March, 2023.
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Kulyk, V.L., Kulyk, H.M. & Stepanenko, N.V. On Some Constructions of Regular Linear Extensions of Dynamical Systems on a Torus. J Math Sci 278, 1013–1033 (2024). https://doi.org/10.1007/s10958-024-06982-9
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DOI: https://doi.org/10.1007/s10958-024-06982-9