شماره ركورد كنفرانس :
3502
عنوان مقاله :
(Bifurcation Diagram for the Hamiltonian of Borisov-Mamaev Integrable case on the Lie Algebra so(3, 1
Author/Authors :
R Mahjoubi Azarbaijan University of Shahid Madani
كليدواژه :
Integrable Hamiltonian systems , critical points , bifurcation diagram
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
(In 2001, A.V. Borisov and I.S.Mamaev discovered a new integrable case on the Lie algebra so(3, 1
. 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. In this paper, bifurcation diagram of
the Hamiltonian for the integrable case under consideration on the Lie algebra so(3, 1) for different values
of parameters is constructed.
