Some constructions of Lyapunov function for linear extensions of dynamical systems

In this note we consider some sets of linear extensions of dynamical systems and research regularity by means of the sign-changing Lyapunov function. We examine some constructions of Lyapunov functions for given systems.

Bibliographic Details
Main Authors:	Viktor Kulik, Ewa Tkocz-Piszczek
Format:	Article
Language:	English
Published:	AGH Univeristy of Science and Technology Press 2011-01-01
Series:	Opuscula Mathematica
Subjects:	Lyapunov function invariant manifold invariant torus
Online Access:	http://www.opuscula.agh.edu.pl/vol31/3/art/opuscula_math_3128.pdf

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spelling	doaj-247592b4adea439f9c127626ed9df3582020-11-24T22:32:41ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742011-01-01313399409 http://dx.doi.org/10.7494/OpMath.2011.31.3.3993128Some constructions of Lyapunov function for linear extensions of dynamical systemsViktor Kulik0Ewa Tkocz-Piszczek1Silesian University of Technology, Department of Mathematics, ul. Kaszubska 23, Gliwice, PolandSilesian University of Technology, Department of Mathematics, ul. Kaszubska 23, Gliwice, PolandIn this note we consider some sets of linear extensions of dynamical systems and research regularity by means of the sign-changing Lyapunov function. We examine some constructions of Lyapunov functions for given systems.http://www.opuscula.agh.edu.pl/vol31/3/art/opuscula_math_3128.pdfLyapunov functioninvariant manifoldinvariant torus
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Viktor Kulik Ewa Tkocz-Piszczek
spellingShingle	Viktor Kulik Ewa Tkocz-Piszczek Some constructions of Lyapunov function for linear extensions of dynamical systems Opuscula Mathematica Lyapunov function invariant manifold invariant torus
author_facet	Viktor Kulik Ewa Tkocz-Piszczek
author_sort	Viktor Kulik
title	Some constructions of Lyapunov function for linear extensions of dynamical systems
title_short	Some constructions of Lyapunov function for linear extensions of dynamical systems
title_full	Some constructions of Lyapunov function for linear extensions of dynamical systems
title_fullStr	Some constructions of Lyapunov function for linear extensions of dynamical systems
title_full_unstemmed	Some constructions of Lyapunov function for linear extensions of dynamical systems
title_sort	some constructions of lyapunov function for linear extensions of dynamical systems
publisher	AGH Univeristy of Science and Technology Press
series	Opuscula Mathematica
issn	1232-9274
publishDate	2011-01-01
description	In this note we consider some sets of linear extensions of dynamical systems and research regularity by means of the sign-changing Lyapunov function. We examine some constructions of Lyapunov functions for given systems.
topic	Lyapunov function invariant manifold invariant torus
url	http://www.opuscula.agh.edu.pl/vol31/3/art/opuscula_math_3128.pdf
work_keys_str_mv	AT viktorkulik someconstructionsoflyapunovfunctionforlinearextensionsofdynamicalsystems AT ewatkoczpiszczek someconstructionsoflyapunovfunctionforlinearextensionsofdynamicalsystems
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Some constructions of Lyapunov function for linear extensions of dynamical systems

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