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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2011-01-01
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| Series: | Opuscula Mathematica |
| Subjects: | |
| Online Access: | http://www.opuscula.agh.edu.pl/vol31/3/art/opuscula_math_3128.pdf |
| _version_ | 1819136545309851648 |
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| author | Viktor Kulik Ewa Tkocz-Piszczek |
| author_facet | Viktor Kulik Ewa Tkocz-Piszczek |
| author_sort | Viktor Kulik |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-22T10:36:41Z |
| format | Article |
| id | doaj.art-247592b4adea439f9c127626ed9df358 |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-12-22T10:36:41Z |
| publishDate | 2011-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-247592b4adea439f9c127626ed9df3582022-12-21T18:29:09ZengAGH 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 |
| 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 |
| title | 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_short | Some constructions of Lyapunov function for linear extensions of dynamical systems |
| title_sort | some constructions of lyapunov function for linear extensions of dynamical systems |
| topic | Lyapunov function invariant manifold invariant torus |
| url | http://www.opuscula.agh.edu.pl/vol31/3/art/opuscula_math_3128.pdf |
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