Abstract:
In the problem of the motion of a rigid body with a
fixed point under the influence of a magnetic field generated by
the Barnett—London effect, as well as potential forces, particular
cases of the existence of additional quadratic integrals are
presented and the qualitative analysis of the equations of motion
of the body is done in one of these cases.
Citation:
V. D. Irtegov, T. N. Titorenko, “On the qualitative analysis of the equations of motion of a rigid body in a magnetic field”, Sib. Zh. Ind. Mat., 25:1 (2022), 54–66
\Bibitem{IrtTit22}
\by V.~D.~Irtegov, T.~N.~Titorenko
\paper On the qualitative analysis of the equations of motion of a rigid body in a magnetic field
\jour Sib. Zh. Ind. Mat.
\yr 2022
\vol 25
\issue 1
\pages 54--66
\mathnet{http://mi.mathnet.ru/sjim1161}
\crossref{https://doi.org/10.33048/SIBJIM.2022.25.104}
Linking options:
https://www.mathnet.ru/eng/sjim1161
https://www.mathnet.ru/eng/sjim/v25/i1/p54
This publication is cited in the following 1 articles:
V. D. Irtegov, T. N. Titorenko, “O kachestvennom analize semeistva differentsialnykh uravnenii s pervymi integralami vyshe 2-i stepeni”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 16:2 (2023), 37–48