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JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 2013 Volume 18, Issue 4, Pages 453–467 (Mi rcd122)

This article is cited 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.

MSC: 70F40, 70E18, 37M05

Received: 24.06.2013
Accepted: 03.07.2013

Language: English

DOI: 10.1134/S1560354713040084



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