High frequency behavior of a rolling ball and simplification of the separation equation

DOI10.1134/S1560354713030039zbMath1273.70008MaRDI QIDQ359002

Nils Rutstam

Publication date: 9 August 2013

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

zbMATH Keywords

rigid bodyelliptic integralsintegrals of motionrolling spheretippe top

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Elliptic functions and integrals (33E05) Motion of a rigid body in contact with a solid surface (70E18) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (2)

Dynamics of the Tippe Top-properties of numerical solutions versus the dynamical equations ⋮ The dynamics and control of a spherical robot with an internal omniwheel platform

Cites Work

• Unnamed Item
• Tippe top equations and equations for the related mechanical systems
• What does it mean to explain the rising of the tippe top?
• Steady motions of nonholonomic systems
• Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics
• Phase space of rolling solutions of the tippe top

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