On some problems in perturbation theory of smooth invariant tori of dynamical systems
Problems related to perturbation theory of smooth invariant tori of dynamical systems in a n-dimensional Euclidean spaceR n are considered. The clarification of these problems plays an important role for perturbation theory suggested by the author in [1] and extends the scope of its application.
Gespeichert in:
| Datum: | 1994 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1994
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5577 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: | |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511809431142400 |
|---|---|
| author | Samoilenko, A. M. Самойленко, А. М. Самойленко, А. М. |
| author_facet | Samoilenko, A. M. Самойленко, А. М. Самойленко, А. М. |
| author_sort | Samoilenko, A. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:13:51Z |
| description | Problems related to perturbation theory of smooth invariant tori of dynamical systems in a n-dimensional Euclidean spaceR n are considered. The clarification of these problems plays an important role for perturbation theory suggested by the author in [1] and extends the scope of its application. |
| first_indexed | 2026-03-24T03:18:47Z |
| format | Article |
| fulltext |
0057
0058
0059
0060
0061
0062
0063
0064
0065
0066
0067
0068
0069
0070
0071
0072
0073
0074
0075
0076
0077
0078
0079
0080
0081
0082
0083
0084
0085
0086
0087
0088
0089
0090
0091
|
| id | umjimathkievua-article-5577 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:18:47Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6d/093936270f02079481c4e66ab1c6d06d.pdf |
| spelling | umjimathkievua-article-55772020-03-19T09:13:51Z On some problems in perturbation theory of smooth invariant tori of dynamical systems О некоторых проблемах теории возмущений гладких инвариантных торов динамических систем Samoilenko, A. M. Самойленко, А. М. Самойленко, А. М. Problems related to perturbation theory of smooth invariant tori of dynamical systems in a n-dimensional Euclidean spaceR n are considered. The clarification of these problems plays an important role for perturbation theory suggested by the author in [1] and extends the scope of its application. Розглядаються питання, пов'язані з теорією збурень гладких інваріантних торів динамічних систем у $n$-вимірному евклідовому просторі $R^n$. Вияснення цих питань суттєво для теорії збурень, запропонованої автором [ 1 ], і розширює можливості застосування цієї теорії. Institute of Mathematics, NAS of Ukraine 1994-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5577 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 12 (1994); 1665–1699 Український математичний журнал; Том 46 № 12 (1994); 1665–1699 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5577/7840 https://umj.imath.kiev.ua/index.php/umj/article/view/5577/7841 Copyright (c) 1994 Samoilenko A. M. |
| spellingShingle | Samoilenko, A. M. Самойленко, А. М. Самойленко, А. М. On some problems in perturbation theory of smooth invariant tori of dynamical systems |
| title | On some problems in perturbation theory of smooth invariant tori of dynamical systems |
| title_alt | О некоторых проблемах теории возмущений гладких инвариантных торов динамических систем |
| title_full | On some problems in perturbation theory of smooth invariant tori of dynamical systems |
| title_fullStr | On some problems in perturbation theory of smooth invariant tori of dynamical systems |
| title_full_unstemmed | On some problems in perturbation theory of smooth invariant tori of dynamical systems |
| title_short | On some problems in perturbation theory of smooth invariant tori of dynamical systems |
| title_sort | on some problems in perturbation theory of smooth invariant tori of dynamical systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5577 |
| work_keys_str_mv | AT samoilenkoam onsomeproblemsinperturbationtheoryofsmoothinvarianttoriofdynamicalsystems AT samojlenkoam onsomeproblemsinperturbationtheoryofsmoothinvarianttoriofdynamicalsystems AT samojlenkoam onsomeproblemsinperturbationtheoryofsmoothinvarianttoriofdynamicalsystems AT samoilenkoam onekotoryhproblemahteoriivozmuŝenijgladkihinvariantnyhtorovdinamičeskihsistem AT samojlenkoam onekotoryhproblemahteoriivozmuŝenijgladkihinvariantnyhtorovdinamičeskihsistem AT samojlenkoam onekotoryhproblemahteoriivozmuŝenijgladkihinvariantnyhtorovdinamičeskihsistem |