On Some Constructions of Regular Linear Extensions of Dynamical Systems on a Torus

On Some Constructions of Regular Linear Extensions of Dynamical Systems on a Torus

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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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024-02, Vol.278 (6), p.1013-1033
Hauptverfasser: Kulyk, V. L., Kulyk, H. M., Stepanenko, N. V.
Format: Artikel
Sprache:eng
Schlagworte:
Dynamical systems
Liapunov functions
Mathematics
Mathematics and Statistics
Quadratic forms
Toruses
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Beschreibung
Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-06982-9