| Title | Mathematical models of a symmetric top dynamics in the external fields with axial symmetry |
| Publication Type | Journal Article |
| Year of Publication | 2018 |
| Authors | Zub, SS |
| Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
| DOI | 10.15407/dopovidi2018.09.012 |
| Issue | 9 |
| Section | Information Science and Cybernetics |
| Pagination | 12-20 |
| Date Published | 9/2018 |
| Language | Russian |
| Abstract | The article describes a new approach to the investigation of the dynamic stability of magnetic bodies in an axially symmetric magnetic field. We consider a Hamiltonian for a broad class of models with a symmetric top that interacts with external axially symmetric fields. Necessary and sufficient conditions of the dynamic equilibrium for a new class of models with a symmetric top are found. Motion equations in the form that is convenient for the numerical simulation are obtained. |
| Keywords | dynamical systems, mathematical models, motion equations, stability, symmetric top |
References:
- Zub, S. I., Zub, S. S., Lyashko, V. S., Lyashko, N. I. & Lyashko, S. I. (2017). Mathematical model of interaction of a symmetric top with an axially symmetric external field. Cybernetics and Systems Analysis, 53, Iss. 3, pp. 333-345. doi: https://doi.org/10.1007/s10559-017-9933-7
