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Precession of the Kovalevskaya and Goryachev-Chaplygin tops

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Publication:2284596
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DOI10.1134/S1560354719030031zbMath1428.70013arXiv1807.09016MaRDI QIDQ2284596

I. Yu. Polekhin

Publication date: 15 January 2020

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

Full work available at URL: https://arxiv.org/abs/1807.09016


zbMATH Keywords

integrable systemKovalevskaya topmean motionprecessionGoryachev-Chaplygin top


Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Motion of a rigid body with a fixed point (70E17)




Cites Work

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  • The Goryachev-Chaplygin top and the Toda lattice
  • On the qualitative analysis of motion of a solid body in the Goriachev-Chaplygin problem
  • Rigid body dynamics
  • Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds
  • The behaviour of cyclic variables in integrable systems
  • The problem of drift and recurrence for the rolling Chaplygin ball
  • Topology and stability of integrable systems
  • A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
  • Rotation function for integrable problems reducing to the Abel equations. Orbital classification of Goryachev-Chaplygin systems.
  • Mean Motion. II
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