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...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2014 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146837 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Rauch-Wojciechowski, S. Rutstam, N. 2019-02-11T16:55:40Z 2019-02-11T16:55:40Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/146837 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. We would like to thank Hans Lundmark for discussions and for valuable help with numerical simulations. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Dynamics of an Inverting Tippe Top Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Dynamics of an Inverting Tippe Top |
| spellingShingle |
Dynamics of an Inverting Tippe Top Rauch-Wojciechowski, S. Rutstam, N. |
| 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 |
| author |
Rauch-Wojciechowski, S. Rutstam, N. |
| author_facet |
Rauch-Wojciechowski, S. Rutstam, N. |
| publishDate |
2014 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT rauchwojciechowskis dynamicsofaninvertingtippetop AT rutstamn dynamicsofaninvertingtippetop |
| first_indexed |
2025-12-07T19:47:16Z |
| last_indexed |
2025-12-07T19:47:16Z |
| _version_ |
1850880122991673344 |