Заглавие | Non-integrability of a system from the rigid body dynamics |
Вид публикация | Journal Article |
Година на публикуване | 2022 |
Автори | Christov O |
Списание | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
Том | 109 |
Start Page | 57 |
Pagination | 57-69 |
ISSN | 1313-9215 (Print) 2603-5529 (Online) |
ключови думи | complete 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. |
DOI | 10.60063/GSU.FMI.109.57-69 |
Прикачен файл | Размер |
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109-057-069.pdf | 494.01 KB |