The topology of isoenergetic surfaces for the Borisov-Mamaev-Sokolov integrable case on the Lie algebra \(so(3, 1)\)

DOI10.1134/S0040577918120048zbMath1428.70033OpenAlexW2909230800WikidataQ115248150 ScholiaQ115248150MaRDI QIDQ2286628

Rasoul Akbarzadeh

Publication date: 22 January 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577918120048

zbMATH Keywords

integrable Hamiltonian systemtopologybifurcation diagramcritical setisoenergetic surface

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) 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) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Poisson algebras (17B63)

Related Items (1)

On one approach to the qualitative analysis of nonlinear dynamical systems

Cites Work

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• Topology and mechanics. I
• Topology and mechanics. II: The planar \(n\)-body problem
• Bifurcations of first integrals in the Sokolov case
• Topological features of the Sokolov integrable case on the Lie algebra $ \mathrm{e}(3)$

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