The Topology of Isoenergy Surfaces for the Sokolov Integrable case on the Lie Algebra so(3,1) / Novikov D.V. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. № 4. P. 62-65 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].
Sokolov's integrable case on so(3,1) is studied. This is a Hamiltonian system with two degrees of freedom where both the Hamiltonian and additional integral are homogeneous polynomials of degrees 2 and 4, respectively. The topology of isoenergy surfaces is described for different values of parameters.
integrable Hamiltonian systems, bifurcation diagram, isoenergy surface.