Buchumschlag

On Some Properties of the Behavior of Linear Extensions of Dynamical Systems on a Torus under Perturbation of Phase Variables

We investigate classes of linear extensions of dynamical systems on a torus for which the Lyapunov functions exist for an arbitrary flow on the torus. Linear extensions for which the Lyapunov functions exist only with varying coefficients are considered separately. We investigate the problem of pres...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	2002
Hauptverfasser:	Samoilenko, A. M., Stepanenko, N. V., Самойленко, А. М., Степаненко, Н. В.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2002
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/4077
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

On local perturbations of linear extensions of dynamical systems on a torus
von: Hrod, I. M., et al.
Veröffentlicht: (2000)

On some properties of the set of Lyapunov 's functions in the theory of linear extensions of dynamical systems on the torus
von: Stepanenko, N.V.
Veröffentlicht: (2001)

Alternating Lyapunov functions in the theory of linear extensions of dynamical systems on a torus
von: Kulik, V. L., et al.
Veröffentlicht: (2007)

On some classes of regular linear extensions of dynamical systems on a torus
von: Kulik, V. L., et al.
Veröffentlicht: (1994)

Green – Samoilenko function of linear extensions of dynamical systems on a torus
von: V. L. Kulyk, et al.
Veröffentlicht: (2020)

On the Existence of a Unique Green Function for the Linear Extension of a Dynamical System on a Torus
von: Samoilenko, A. M., et al.
Veröffentlicht: (2001)

Regular linear extensions of dynamical systems on a torus
von: Kulik, V. L., et al.
Veröffentlicht: (1993)

Existence of an invariant torus for a degenerate linear extension of a dynamical system
von: Yu. Yu. Korol
Veröffentlicht: (2016)

Linear extensions of dynamical systems on a torus that possess Green-Samoilenko functions
von: Wojtowicz, B., et al.
Veröffentlicht: (1998)

On Regularity of Certain Linear Expansions of Dynamical Systems on a Torus
von: Kulik, V. L., et al.
Veröffentlicht: (2002)

Construction of Lyapunov Functions in the Theory of Regular Linear Extensions of Dynamical Systems on a Torus
von: V. L. Kulyk
Veröffentlicht: (2015)

Construction of Lyapunov Functions in the Theory of Regular Linear Extensions of Dynamical Systems on a Torus
von: Kulik, V. L., et al.
Veröffentlicht: (2015)

A criterion for the existence of the unique invariant torus of a linear extension of dynamical systems
von: Boichuk, О. A., et al.
Veröffentlicht: (2007)

Conditions for exponential stability and dichotomy of pulse linear extensions of dynamical systems on a torus
von: Ali, N. A., et al.
Veröffentlicht: (1998)

On necessary conditions for the weak regularity of a linear extension of a dynamical system on a torus
von: Grechko, A. L., et al.
Veröffentlicht: (1998)

Separation of variables in linear extensions of dynamical systems on tori
von: Burilko, O. A., et al.
Veröffentlicht: (1996)

Sets of linear expansions of dynamical systems on a torus for a fixed Lyapunov function
von: Astaf’eva, M. M., et al.
Veröffentlicht: (2007)

Dependence of the Green's function of a linear extension of a dynamical system on a torus upon a parameter
von: Bodnaruk, S. B., et al.
Veröffentlicht: (1995)

On some qualitative properties of monotone linear extensions of dynamical systems
von: Grechko, A. L., et al.
Veröffentlicht: (2011)

On some problems in perturbation theory of smooth invariant tori of dynamical systems
von: Samoilenko, A. M., et al.
Veröffentlicht: (1994)

Asymptotic two-phase solitonlike solutions of the singularly perturbed Korteweg-de Vries equation with variable coefficients
von: Samoilenko, V. G., et al.
Veröffentlicht: (2008)

Investigation of a discrete dynamical system in a neighborhood of the invariant torus
von: Samoilenko, M. V., et al.
Veröffentlicht: (1995)

Some methods of complement of weak regular linear extensions of dynamical systems to regular
von: V. Kulyk, et al.
Veröffentlicht: (2013)

Two-Phase Solitonlike Solutions of the Cauchy Problem for a Singularly Perturbed Korteweg-De-Vries Equation with Variable Coefficients
von: Samoilenko, V. G., et al.
Veröffentlicht: (2013)

Asymptotic m-phase soliton-type solutions of a singularly perturbed Korteweg?de Vries equation with variable coefficients
von: Samoilenko, V. G., et al.
Veröffentlicht: (2012)

Asymptotic m-phase soliton-type solutions of a singularly perturbed Korteweg?de Vries equation with variable coefficients. II
von: Samoilenko, V. G., et al.
Veröffentlicht: (2012)

Invariant tori of linear countable systems of discrete equations given on an infinite-dimensional torus
von: Samoilenko, A. M., et al.
Veröffentlicht: (1998)

On the equivalence of some perturbations of the operator of multiplication by the independent variable
von: Yu. S. Linchuk
Veröffentlicht: (2016)

On the equivalence of some perturbations of the operator of multiplication by the independent variable
von: Linchuk, Yu. S., et al.
Veröffentlicht: (2016)

On equicontinuous factors of linear extensions of minimal dynamical systems
von: Glavan, V. A., et al.
Veröffentlicht: (1993)

Asymptotic $Σ$-solutions to singularly perturbed Benjamin – Bona – Mahony equation with variable coefficients
von: Samoilenko, V. G., et al.
Veröffentlicht: (2018)

Two-Phase Solitonlike Solutions of the Cauchy Problem for a Singularly Perturbed Korteweg-De-Vries Equation with Variable Coefficients
von: V. H. Samoilenko, et al.
Veröffentlicht: (2013)

Asymptotic solutions of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients
von: Samoilenko, V. G., et al.
Veröffentlicht: (2007)

Relationship Between the Green and Lyapunov Functions in Linear Extensions of Dynamical Systems
von: I. M. Hrod, et al.
Veröffentlicht: (2014)

Relationship Between the Green and Lyapunov Functions in Linear Extensions of Dynamical Systems
von: Hrod, I. M., et al.
Veröffentlicht: (2014)

On the smoothness of bounded invariant manifolds of linear inhomogeneous extensions of dynamical systems
von: Hrod, I. M., et al.
Veröffentlicht: (1996)

Asymptotic Multiphase Solitonlike Solutions of the Cauchy Problem for a Singularly Perturbed Korteweg–de-Vries Equation with Variable Coefficients
von: Samoilenko, V. G., et al.
Veröffentlicht: (2014)

On sufficient conditions for the existence of bounded solutions of inhomogeneous linear extensions of dynamical systems
von: Grechko, A. L., et al.
Veröffentlicht: (2010)

Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis
von: Boichuk, А. A., et al.
Veröffentlicht: (2002)

Weakly perturbed systems of linear integro-dynamic equations on time scales
von: I. A. Bondar, et al.
Veröffentlicht: (2021)