On the absence of an additional real-analytic first integral in the problem on the motion of a dynamically symmetric heavy rigid body around a fixed point
Abstract:
We give the detailed proof of the absence of an additional real-analytic first integral in the problem on the motion of a dynamically symmetric heavy rigid body about a fixed point in all the cases, except the known classical ones.
Citation:
S. L. Ziglin, “On the absence of an additional real-analytic first integral in the problem on the motion of a dynamically symmetric heavy rigid body around a fixed point”, Funktsional. Anal. i Prilozhen., 58:3 (2024), 89–105
\Bibitem{Zig24}
\by S.~L.~Ziglin
\paper On the absence of an additional real-analytic first integral in the problem on the motion of a dynamically symmetric heavy rigid body around a fixed point
\jour Funktsional. Anal. i Prilozhen.
\yr 2024
\vol 58
\issue 3
\pages 89--105
\mathnet{http://mi.mathnet.ru/faa4115}
\crossref{https://doi.org/10.4213/faa4115}