Dynamics of an Inverting Tippe Top

dc.contributor.author	Rauch-Wojciechowski, S.
dc.contributor.author	Rutstam, N.
dc.date.accessioned	2019-02-11T16:55:40Z
dc.date.available	2019-02-11T16:55:40Z
dc.date.issued	2014
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 70F40; 74M10; 70E18; 70E40; 37B25
dc.identifier.other	DOI:10.3842/SIGMA.2014.017
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146837
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	We would like to thank Hans Lundmark for discussions and for valuable help with numerical simulations.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Dynamics of an Inverting Tippe Top	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA