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Regular and Chaotic Dynamics, 2013, Volume 18, Issue 4, Pages 453–467
DOI: https://doi.org/10.1134/S1560354713040084 (Mi rcd122) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Dynamics of the Tippe Top — Properties of Numerical Solutions Versus the Dynamical Equations

Stefan Rauch-Wojciechowski, Nils Rutstam

Department of Mathematics, Linköpings University, SE–581 83 Linköping, Sweden
Citations (6)
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DOI: https://doi.org/10.1134/S1560354713040084
Abstract: We study the relationship between numerical solutions for inverting Tippe Top and the structure of the dynamical equations. The numerical solutions confirm the oscillatory behavior of the inclination angle $\theta(t)$ for the symmetry axis of the Tippe Top, as predicted by the Main Equation for the Tippe Top. They also reveal further fine features of the dynamics of inverting solutions defining the time of inversion. These features are partially understood on the basis of the underlying dynamical equations.
Keywords: Tippe Top, rigid body, nonholonomic mechanics, numerical solutions.
Received: 24.06.2013
Accepted: 03.07.2013
Bibliographic databases:
Document Type: Article
MSC: 70F40, 70E18, 37M05
Language: English
Citation: Stefan Rauch-Wojciechowski, Nils Rutstam, “Dynamics of the Tippe Top — Properties of Numerical Solutions Versus the Dynamical Equations”, Regul. Chaotic Dyn., 18:4 (2013), 453–467
Citation in format AMSBIB
\Bibitem{RauRut13}
\by Stefan Rauch-Wojciechowski, Nils Rutstam
\paper Dynamics of the Tippe Top — Properties of Numerical Solutions Versus the Dynamical Equations
\jour Regul. Chaotic Dyn.
\yr 2013
\vol 18
\issue 4
\pages 453--467
\mathnet{http://mi.mathnet.ru/rcd122}
\crossref{https://doi.org/10.1134/S1560354713040084}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3090211}
\zmath{https://zbmath.org/?q=an:1274.70018}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000322878100008}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:45
     
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