Mathematical analysis of the tippe top
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Publication:2425506
DOI10.1070/RD2005v010n04ABEH000319zbMath1133.70309MaRDI QIDQ2425506
Stefan Rauch-Wojciechowski, M. Sköldstam, Torkel Glad
Publication date: 5 May 2008
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
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)
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Dynamics of the Tippe Top-properties of numerical solutions versus the dynamical equations ⋮ Permanent rotations in nonholonomic mechanics. Omnirotational ellipsoid ⋮ Towards a prototype of a spherical tippe top ⋮ 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 ⋮ Dynamics of an unbalanced disk with a single nonholonomic constraint ⋮ Non‐holonomic rolling of a ball on the surface of a rotating cylinder ⋮ What does it mean to explain the rising of the tippe top? ⋮ 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 ⋮ Comments on the paper by M. C. Ciocci, B. Malengier, B. Langerock, and B. Grimonprez ``Towards a prototype of a spherical tippe top ⋮ A parabolic Chaplygin pendulum and a Paul trap: nonintegrability, stability, and boundedness
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