Invariant varieties of periodic points for the discrete Euler top
The behaviour of periodic points of discrete Euler top is studied. We derive invariant varieties of periodic points explicitly. When the top is axially symmetric they are specified by some particular values of the angular velocity along the axis of symmetry, different for each period.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2006 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146045 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Invariant varieties of periodic points for the discrete Euler top / S. Saito, N. Saitoh // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862639440426434560 |
|---|---|
| author | Saito, S. Saitoh, N. |
| author_facet | Saito, S. Saitoh, N. |
| citation_txt | Invariant varieties of periodic points for the discrete Euler top / S. Saito, N. Saitoh // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The behaviour of periodic points of discrete Euler top is studied. We derive invariant varieties of periodic points explicitly. When the top is axially symmetric they are specified by some particular values of the angular velocity along the axis of symmetry, different for each period.
|
| first_indexed | 2025-12-01T01:20:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146045 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T01:20:42Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Saito, S. Saitoh, N. 2019-02-06T14:51:26Z 2019-02-06T14:51:26Z 2006 Invariant varieties of periodic points for the discrete Euler top / S. Saito, N. Saitoh // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 8 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 14J81; 39A11; 70E40 https://nasplib.isofts.kiev.ua/handle/123456789/146045 The behaviour of periodic points of discrete Euler top is studied. We derive invariant varieties of periodic points explicitly. When the top is axially symmetric they are specified by some particular values of the angular velocity along the axis of symmetry, different for each period. This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Invariant varieties of periodic points for the discrete Euler top Article published earlier |
| spellingShingle | Invariant varieties of periodic points for the discrete Euler top Saito, S. Saitoh, N. |
| title | Invariant varieties of periodic points for the discrete Euler top |
| title_full | Invariant varieties of periodic points for the discrete Euler top |
| title_fullStr | Invariant varieties of periodic points for the discrete Euler top |
| title_full_unstemmed | Invariant varieties of periodic points for the discrete Euler top |
| title_short | Invariant varieties of periodic points for the discrete Euler top |
| title_sort | invariant varieties of periodic points for the discrete euler top |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146045 |
| work_keys_str_mv | AT saitos invariantvarietiesofperiodicpointsforthediscreteeulertop AT saitohn invariantvarietiesofperiodicpointsforthediscreteeulertop |