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

DOI10.1134/S1560354713040084zbMath1274.70018arXiv1306.5641MaRDI QIDQ381030

Nils Rutstam, Stefan Rauch-Wojciechowski

Publication date: 15 November 2013

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5641

zbMATH Keywords

rigid bodynumerical solutionsnonholonomic mechanicsTippe Top

Mathematics Subject Classification ID

Problems involving a system of particles with friction (70F40) Simulation of dynamical systems (37M05) Motion of a rigid body in contact with a solid surface (70E18)

Related Items (4)

Dynamics of a rolling and sliding disk in a plane. Asymptotic solutions, stability and numerical simulations ⋮ On dynamics of Jellet's egg. Asymptotic solutions revisited ⋮ Dissipative motion of a spinning heavy symmetric top ⋮ Hamiltonization of elementary nonholonomic systems

Uses Software

• SciPy

Cites Work

• Unnamed Item
• High frequency behavior of a rolling ball and simplification of the separation equation
• Tippe top equations and equations for the related mechanical systems
• What does it mean to explain the rising of the tippe top?
• Qualitative investigation of the dynamics of a top on a plane with friction
• Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics
• A new analysis of the tippe top: Asymptotic states and Lyapunov stability
• Mathematical analysis of the tippe top
• Dynamics of an inverting tippe top
• The Dynamics of a Tippe Top
• Tippe Top Inversion as a Dissipation-Induced Instability
• Motion of the Tippe Top: Gyroscopic Balance Condition and Stability

This page was built for publication: Dynamics of the Tippe Top-properties of numerical solutions versus the dynamical equations