Dynamics of an Inverting Tippe Top
The existing results about inversion of a tippe top (TT) establish stability of asymptotic solutions and prove inversion by using the LaSalle theorem. Dynamical behaviour of inverting solutions has only been explored numerically and with the use of certain perturbation techniques. The aim of this pa...
Збережено в:
| Дата: | 2014 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146837 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Dynamics of an Inverting Tippe Top / S. Rauch-Wojciechowski, N. Rutstam // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 18 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146837 |
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dspace |
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irk-123456789-1468372019-02-12T01:23:35Z Dynamics of an Inverting Tippe Top Rauch-Wojciechowski, S. Rutstam, N. The existing results about inversion of a tippe top (TT) establish stability of asymptotic solutions and prove inversion by using the LaSalle theorem. Dynamical behaviour of inverting solutions has only been explored numerically and with the use of certain perturbation techniques. The aim of this paper is to provide analytical arguments showing oscillatory behaviour of TT through the use of the main equation for the TT. 2014 Article Dynamics of an Inverting Tippe Top / S. Rauch-Wojciechowski, N. Rutstam // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 18 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 70F40; 74M10; 70E18; 70E40; 37B25 DOI:10.3842/SIGMA.2014.017 http://dspace.nbuv.gov.ua/handle/123456789/146837 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The existing results about inversion of a tippe top (TT) establish stability of asymptotic solutions and prove inversion by using the LaSalle theorem. Dynamical behaviour of inverting solutions has only been explored numerically and with the use of certain perturbation techniques. The aim of this paper is to provide analytical arguments showing oscillatory behaviour of TT through the use of the main equation for the TT. |
| format |
Article |
| author |
Rauch-Wojciechowski, S. Rutstam, N. |
| spellingShingle |
Rauch-Wojciechowski, S. Rutstam, N. Dynamics of an Inverting Tippe Top Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Rauch-Wojciechowski, S. Rutstam, N. |
| author_sort |
Rauch-Wojciechowski, S. |
| title |
Dynamics of an Inverting Tippe Top |
| title_short |
Dynamics of an Inverting Tippe Top |
| title_full |
Dynamics of an Inverting Tippe Top |
| title_fullStr |
Dynamics of an Inverting Tippe Top |
| title_full_unstemmed |
Dynamics of an Inverting Tippe Top |
| title_sort |
dynamics of an inverting tippe top |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146837 |
| citation_txt |
Dynamics of an Inverting Tippe Top / S. Rauch-Wojciechowski, N. Rutstam // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 18 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT rauchwojciechowskis dynamicsofaninvertingtippetop AT rutstamn dynamicsofaninvertingtippetop |
| first_indexed |
2023-05-20T17:25:46Z |
| last_indexed |
2023-05-20T17:25:46Z |
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1796153271873699840 |