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Asymptotic solution of the equations of motion for a celtic stone

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Publication:798015
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DOI10.1016/0021-8928(83)90016-3zbMath0546.70010OpenAlexW1988069818MaRDI QIDQ798015

Madeleine Pascal

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8928(83)90016-3

zbMATH Keywords

rotationstable equilibriumceltic stonetransverse oscillations


Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Nonholonomic systems related to the dynamics of a system of particles (70F25) Nonlinear resonances for nonlinear problems in mechanics (70K30)


Related Items

Some reversing orbits for a rattleback model, The energy-momentum method for the stability of non-holonomic systems



Cites Work

  • On the dynamic behavior of the wobblestone
  • On the stability of steady motions of Chaplygin's nonholonomic systems
  • On the problem of steady motions stability of nonholonomic systems
  • A mathematical model of the Rattleback
  • On permanent rotations of a heavy solid body on an absolutely rough horizontal plane
  • Zur Theorie der Keltischen Wackelsteine
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