Non-integrability of a system from the rigid body dynamics

ЗаглавиеNon-integrability of a system from the rigid body dynamics
Вид публикацияJournal Article
Година на публикуване2022
АвториChristov O
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том109
Start Page57
Pagination57-69
ISSN1313-9215 (Print) 2603-5529 (Online)
ключови думиcomplete integrability, system describing the motion of a rigid body with a particle oscillating in it, Ziglin-Morales-Ramis theory
Резюме

We study the complete integrability of a system describing the motion of a rigid body with a fixed point and a particle oscillating in it in the absence of external forces. Using the Ziglin-Morales-Ramis theory, we prove rigorously that the considered system is integrable only in the case of dynamical symmetry.

DOI10.60063/GSU.FMI.109.57-69
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