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 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.
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Rauch-Wojciechowski, S., Rutstam, N. Dynamics of the Tippe Top—Properties of numerical solutions versus the dynamical equations. Regul. Chaot. Dyn. 18, 453–467 (2013). https://doi.org/10.1134/S1560354713040084
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DOI: https://doi.org/10.1134/S1560354713040084