The topology of Liouville foliation for the Borisov-Mamaev-Sokolov integrable case on the Lie algebra \(so(4)\)

DOI10.1134/S1560354715030089zbMath1345.37056OpenAlexW2214066159WikidataQ115247424 ScholiaQ115247424MaRDI QIDQ500468

Ghorbanali Haghighatdoost, Rasoul Akbarzadeh

Publication date: 2 October 2015

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

Full work available at URL: https://doi.org/10.1134/s1560354715030089

zbMATH Keywords

bifurcation diagramKirchhoff equationsintegrable Hamiltonian systemstopological invariantisoenergy surfacesLiouville foliationBorisov-Mamaev-Sokolov case

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) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items

Explicit integration of the system of invariant relations for the case of M. Adler and P. van Moerbeke, Topology of the isoenergy manifolds of the Kirchhoff rigid body case on \(e(3)\), Topological analysis corresponding to the Borisov-Mamaev-Sokolov integrable system on the Lie algebra \(\mathrm{so}(4)\), Explicit determination of certain periodic motions of a generalized two-field gyrostat, The topology of isoenergetic surfaces for the Borisov-Mamaev-Sokolov integrable case on the Lie algebra \(so(3, 1)\), The integrable case of Adler-van Moerbeke. Discriminant set and bifurcation diagram

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