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

被引：0

作者：

Kulyk V.L. ^{[1
]}

Kulyk H.M. ^{[2
]}

Stepanenko N.V. ^{[2
]}

机构：

[1] Silesian University of Technology (Silesia Polytechnic in Gliwice), Kashubska St., 23, Gliwice

[2] “I. Sikorsky Kyiv Polytechnic Institute” National Technical University of Ukraine, Peremohy Ave., 37, Kyiv

来源：

Journal of Mathematical Sciences | 2024年 / 278卷 / 6期

关键词：

D O I：

10.1007/s10958-024-06982-9

中图分类号：

学科分类号：

摘要：

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. © Springer Nature Switzerland AG 2024.

引用

页码：1013 / 1033

页数：20

共 50 条

[21] On regularity of certain linear expansions of dynamical systems on a torus
Kulik V.L.
Stepanenko N.V.
Ukrainian Mathematical Journal, 2002, 54 (4) : 700 - 708
[22] Existence of an Invariant Torus for a Degenerate Linear Extension of Dynamical Systems
Korol’ Y.Y.
Journal of Mathematical Sciences, 2017, 223 (3) : 273 - 284
[23] A criterion for the existence of the unique invariant torus of a linear extension of dynamical systems
Boichuk A.A.
Ukrainian Mathematical Journal, 2007, 59 (1) : 1 - 11
[24] Sets of linear expansions of dynamical systems on a torus for a fixed Lyapunov function
Astaf'eva M.M.
Stepanenko N.V.
Ukrainian Mathematical Journal, 2007, 59 (12) : 1922 - 1931
[25] On Some Extensions of π-Regular Rings
Danchev, P.
Javan, A.
Moussavi, A.
RUSSIAN MATHEMATICS, 2024, 68 (10) : 18 - 27
[26] Moduli of continuity of the derivatives of invariant tori for linear extensions of dynamical systems
Samoilenko, AM
Burilko, AA
Grod, IN
DIFFERENTIAL EQUATIONS, 2000, 36 (01) : 120 - 131
[27] Dynamical models for some torus homeomorphisms
Davalos, P.
MEXICAN MATHEMATICIANS ABROAD: RECENT CONTRIBUTIONS, 2012, 2016, 657 : 75 - 84
[28] Moduli of continuity of the derivatives of invariant tori for linear extensions of dynamical systems
A. M. Samoilenko
A. A. Burilko
I. N. Grod
Differential Equations, 2000, 36 : 120 - 131
[29] Relationship Between the Green and Lyapunov Functions in Linear Extensions of Dynamical Systems
I. M. Hrod
V. L. Kulyk
Ukrainian Mathematical Journal, 2014, 66 : 617 - 624
[30] Relationship Between the Green and Lyapunov Functions in Linear Extensions of Dynamical Systems
Hrod, I. M.
Kulyk, V. L.
UKRAINIAN MATHEMATICAL JOURNAL, 2014, 66 (04) : 617 - 624

← 1 2 3 4 5 →