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Dynamics of the Tippe Top—Properties of numerical solutions versus the dynamical equations
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.
2013 (English)In: Regulârnaâ i haoticeskaâ dinamika, ISSN 1560-3547, E-ISSN 1468-4845, Vol. 18, no 4, 453-467 p.Article in journal (Refereed) Published
Abstract [en]

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 θ(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.

Place, publisher, year, edition, pages
Springer US , 2013. Vol. 18, no 4, 453-467 p.
Keyword [en]
70F40, 70E18, 37M05, Tippe Top, rigid body, nonholonomic mechanics, numerical solutions
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-97255DOI: 10.1134/S1560354713040084ISI: 000322878100008OAI: oai:DiVA.org:liu-97255DiVA: diva2:645762
Available from: 2013-09-05 Created: 2013-09-05 Last updated: 2017-12-06

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Rauch, StefanRutstam, Nils

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
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  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
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