Net diagrams for the Fomenko invariant in the integrable system with three degrees of freedom

DOI10.1134/S1064562412060282zbMath1267.37060MaRDI QIDQ1945210

Pavel E. Ryabov, Mikhail P. Kharlamov

Publication date: 3 April 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

bifurcationintegrable Hamiltonian systemKovalevskaya topFomenko's invariants

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (3)

Topological atlas of the Kovalevskaya top in a double field ⋮ Phase topology of one irreducible integrable problem in the dynamics of a rigid body ⋮ Extensions of the Appelrot classes for the generalized gyrostat in a double force field

Cites Work

• Lax representation with a spectral parameter for the Kowalevski top and its generalizations
• Classification of singularities in the problem of motion of the Kovalevskaya top in a double force field
• The symplectic topology of completely integrable Hamiltonian systems

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