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On the Kolmogorov’s condition for a special case of the Kirchhoff top

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Publication:4317958
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DOI10.1063/1.530477zbMath0809.70011OpenAlexW1985745447MaRDI QIDQ4317958

Ognyan Christov

Publication date: 4 April 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530477


zbMATH Keywords

bifurcation diagramKolmogorov-Arnold-Moser theoryinfinite ideal fluid


Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Incompressible inviscid fluids (76B99)


Related Items (2)

On the isoenergetical non-degeneracy of the problem of two centres of gravitation ⋮ A separation bound for non-Hamiltonian differential equations with proper first integrals



Cites Work

  • On the number of critical points of the period
  • Remark on the number of critical points of the period
  • The Hamiltonian formalism and a many-valued analogue of Morse theory
  • Degeneration of Hamiltonian monodromy cycles
  • ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVES


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