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

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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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-05, Vol.263 (2), p.238-247
Main Authors: Kulyk, V. L., Stepanenko, N. V.
Format: Article
Language:English
Subjects:
Analysis
Differential equations
Dynamical systems
Liapunov functions
Mathematics
Mathematics and Statistics
Toruses
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Description
Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05922-9