Towards a prototype of a spherical tippe top

DOI10.1155/2012/268537zbMath1235.70020OpenAlexW2071736898WikidataQ58906519 ScholiaQ58906519MaRDI QIDQ410912

B. Grimonprez, Benny Malengier, Bavo Langerock, Maria-Christina Ciocci

Publication date: 4 April 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/268537

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Motion of a rigid body in contact with a solid surface (70E18)

Related Items (9)

The rolling motion of a truncated ball without slipping and spinning on a plane ⋮ The influence of the first integrals and the rolling resistance model on tippe top inversion ⋮ Non‐holonomic rolling of a ball on the surface of a rotating cylinder ⋮ Dynamics of the tippe top via Routhian reduction ⋮ Dynamics of the tippe top on a vibrating base ⋮ Integrable nonsmooth nonholonomic dynamics of a rubber wheel with sharp edges ⋮ The mathematical model for the tippe top inversion ⋮ Comments on the paper by M. C. Ciocci, B. Malengier, B. Langerock, and B. Grimonprez ``Towards a prototype of a spherical tippe top ⋮ Theoretical and experimental investigations of the rolling of a ball on a rotating plane (turntable)

Cites Work

• Unnamed Item
• Dynamics of the tippe top via Routhian reduction
• A new analysis of the tippe top: Asymptotic states and Lyapunov stability
• Mathematical analysis of the tippe top
• Dynamics of an axisymmetric body spinning on a horizontal surface. I. Stability and the gyroscopic approximation
• Dynamics of an axisymmetric body spinning on a horizontal surface. IV. Stability of steady spin states and the ‘rising egg’ phenomenon for convex axisymmetric bodies
• Dynamics of an axisymmetric body spinning on a horizontal surface. III. Geometry of steady state structures for convex bodies
• Celt reversals: a prototype of chiral dynamics
• The Dynamics of a Tippe Top
• Tippe Top Inversion as a Dissipation-Induced Instability
• Motion of the Tippe Top: Gyroscopic Balance Condition and Stability
• On the influence of friction on the motion of a top

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