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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2014 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146837 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862735184668917760 |
|---|---|
| author | Rauch-Wojciechowski, S. Rutstam, N. |
| author_facet | Rauch-Wojciechowski, S. Rutstam, N. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T19:47:16Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146837 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:47:16Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Dynamics of an Inverting Tippe Top Rauch-Wojciechowski, S. Rutstam, N. |
| title | 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_short | Dynamics of an Inverting Tippe Top |
| title_sort | dynamics of an inverting tippe top |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146837 |
| work_keys_str_mv | AT rauchwojciechowskis dynamicsofaninvertingtippetop AT rutstamn dynamicsofaninvertingtippetop |