Motion of the Tippe Top: Gyroscopic Balance Condition and Stability

DOI10.1137/040615985zbMath1145.70304arXivphysics/0507198OpenAlexW2133493374MaRDI QIDQ5470863

Takahiro Ueda, Shinsuke Watanabe, Ken Sasaki

Publication date: 1 June 2006

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/0507198

zbMATH Keywords

stabilitysteady statetippe topgyroscopic balance condition

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Dynamical systems in classical and celestial mechanics (37N05) Motion of a rigid body in contact with a solid surface (70E18) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (5)

A hemispherical tippe top ⋮ Dynamics of the Tippe Top-properties of numerical solutions versus the dynamical equations ⋮ Towards a prototype of a spherical tippe top ⋮ Dynamics of the tippe top via Routhian reduction ⋮ The mathematical model for the tippe top inversion

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