On some properties of the set of Lyapunov 's functions in the theory of linear extensions of dynamical systems on the torus
A form of some sets of quadratic forms having a sign-fixed derivative by virtue of the linear
 extension of the dynamical system on a torus is proposed. The problem of comparison of
 different sets with each other is investigated.
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| Published in: | Нелінійні коливання |
|---|---|
| Date: | 2001 |
| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2001
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/174758 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On some properties of the set of Lyapunov 's functions in the theory of linear extensions of dynamical systems on the torus / N.V. Stepanenko // Нелінійні коливання. — 2001. — Т. 4, № 4. — С. 539-546. — Бібліогр.: 2 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862705349456297984 |
|---|---|
| author | Stepanenko, N.V. |
| author_facet | Stepanenko, N.V. |
| citation_txt | On some properties of the set of Lyapunov 's functions in the theory of linear extensions of dynamical systems on the torus / N.V. Stepanenko // Нелінійні коливання. — 2001. — Т. 4, № 4. — С. 539-546. — Бібліогр.: 2 назв. — англ. |
| collection | DSpace DC |
| container_title | Нелінійні коливання |
| description | A form of some sets of quadratic forms having a sign-fixed derivative by virtue of the linear
extension of the dynamical system on a torus is proposed. The problem of comparison of
different sets with each other is investigated.
|
| first_indexed | 2025-12-07T16:54:21Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-174758 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-3076 |
| language | Ukrainian |
| last_indexed | 2025-12-07T16:54:21Z |
| publishDate | 2001 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Stepanenko, N.V. 2021-01-27T18:02:44Z 2021-01-27T18:02:44Z 2001 On some properties of the set of Lyapunov 's functions in the theory of linear extensions of dynamical systems on the torus / N.V. Stepanenko // Нелінійні коливання. — 2001. — Т. 4, № 4. — С. 539-546. — Бібліогр.: 2 назв. — англ. 1562-3076 AMS Subject Classification: 34D09, 34C40 https://nasplib.isofts.kiev.ua/handle/123456789/174758 A form of some sets of quadratic forms having a sign-fixed derivative by virtue of the linear
 extension of the dynamical system on a torus is proposed. The problem of comparison of
 different sets with each other is investigated. uk Інститут математики НАН України Нелінійні коливання On some properties of the set of Lyapunov 's functions in the theory of linear extensions of dynamical systems on the torus Про деякі властивості множини функцій Ляпунова в теорії лінійних розширень динамічних систем на торі О некоторых свойствах множества функций Ляпунова в теории линейных расширений динамических систем на торе Article published earlier |
| spellingShingle | On some properties of the set of Lyapunov 's functions in the theory of linear extensions of dynamical systems on the torus Stepanenko, N.V. |
| title | On some properties of the set of Lyapunov 's functions in the theory of linear extensions of dynamical systems on the torus |
| title_alt | Про деякі властивості множини функцій Ляпунова в теорії лінійних розширень динамічних систем на торі О некоторых свойствах множества функций Ляпунова в теории линейных расширений динамических систем на торе |
| title_full | On some properties of the set of Lyapunov 's functions in the theory of linear extensions of dynamical systems on the torus |
| title_fullStr | On some properties of the set of Lyapunov 's functions in the theory of linear extensions of dynamical systems on the torus |
| title_full_unstemmed | On some properties of the set of Lyapunov 's functions in the theory of linear extensions of dynamical systems on the torus |
| title_short | On some properties of the set of Lyapunov 's functions in the theory of linear extensions of dynamical systems on the torus |
| title_sort | on some properties of the set of lyapunov 's functions in the theory of linear extensions of dynamical systems on the torus |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/174758 |
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