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This article is cited in 5 scientific papers (total in 5 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
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
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
Linking options:
https://www.mathnet.ru/eng/rcd122 https://www.mathnet.ru/eng/rcd/v18/i4/p453
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Abstract page: | 209 | References: | 33 |
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