Dynamics of the Tippe Top -- properties of numerical solutions versus the dynamical equations

Abstract

We study the relationship between numerical solutions for inverting Tippe Top and the structure of the dynamical equations. The numerical solutions confirm oscillatory behaviour of the inclination angle $\theta (t)$ for the symmetry axis of 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.

References in corpus (3)

• The Rolling Body Motion Of a Rigid Body on a Plane and a Sphere. Hierarchy of Dynamics
• Tippe Top Equations and Equations for the Related Mechanical Systems
• Dynamics of an Inverting Tippe Top

Cited by in corpus (1)

• Hamiltonization of Elementary Nonholonomic Systems