| Title | Non-integrability of a system from the rigid body dynamics |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Authors | Christov O |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 109 |
| Start Page | 57 |
| Pagination | 57-69 |
| ISSN | 1313-9215 (Print) 2603-5529 (Online) |
| Keywords | complete integrability, system describing the motion of a rigid body with a particle oscillating in it, Ziglin-Morales-Ramis theory |
| Abstract | 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. |
| DOI | 10.60063/GSU.FMI.109.57-69 |
| Attachment | Size |
|---|---|
 109-057-069.pdf | 494.01 KB |