On the dynamics of a spherically shaped top on a plane with friction

TL;DR

This paper analyzes the motion of a spherical tippe top on a plane with friction, deriving averaged equations and providing qualitative insights and numerical results on its dynamics.

Contribution

It introduces an averaged system of equations for the tippe top and analyzes its motion qualitatively, offering new understanding of its dynamics.

Findings

General features of the tippe top's motion identified

Qualitative analysis reveals key dynamical behaviors

Numerical results support theoretical findings

Abstract

The simple realistic model of the tippe top is considered. An averaged system of equations of motion is obtained in special evolutionary variables. Through the qualitative analysis of this system the general features of the motion of the top are obtained. Finally, some numerical results are presented.