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

    2013, Volume 18, Number 4, pp.  453-467

    Author(s): Rauch-Wojciechowski S., Rutstam N.

    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
    Citation: Rauch-Wojciechowski S., Rutstam N., Dynamics of the Tippe Top — Properties of Numerical Solutions Versus the Dynamical Equations, Regular and Chaotic Dynamics, 2013, Volume 18, Number 4, pp. 453-467



    Access to the full text on the Springer website