What does it mean to explain the rising of the tippe top?

DOI10.1134/S1560354708040060zbMath1229.70019MaRDI QIDQ652973

Stefan Rauch-Wojciechowski

Publication date: 6 January 2012

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

zbMATH Keywords

stabilityrigid bodytippe topJellett's integral

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Nonholonomic systems related to the dynamics of a system of particles (70F25) Motion of a rigid body in contact with a solid surface (70E18) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (5)

High frequency behavior of a rolling ball and simplification of the separation equation ⋮ Dynamics of the Tippe Top-properties of numerical solutions versus the dynamical equations ⋮ The tippedisk: a tippetop without rotational symmetry ⋮ Comment on “The problem of deficiency indices for discrete Schrödinger operators on locally finite graphs” [J. Math. Phys. 52, 063512 (2011)] ⋮ The mathematical model for the tippe top inversion

Cites Work

• Dynamics of the tippe top via Routhian reduction
• On a ball's rolling on a horizontal plane. Translated from the Russian 1903 original
• A new analysis of the tippe top: Asymptotic states and Lyapunov stability
• Mathematical analysis of the tippe top
• Phase space of rolling solutions of the tippe top
• Tippe Top Inversion as a Dissipation-Induced Instability
• On the influence of friction on the motion of a top
• On tops rising by friction
• The Tippe Top (Topsy-Turvy Top)

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