Mathematical Model of Interaction of a Symmetric Top with an Axially Symmetric External Field
| Autor: | V. S. Lyashko, S.I. Zub, S. I. Lyashko, N. I. Lyashko, Stanislav S. Zub |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
021103 operations research
General Computer Science Power sum symmetric polynomial Triple system 010102 general mathematics 0211 other engineering and technologies Geometry 02 engineering and technology Complete homogeneous symmetric polynomial 01 natural sciences Computer Science::Computers and Society Symmetric closure Nonlinear Sciences::Chaotic Dynamics Nonlinear Sciences::Exactly Solvable and Integrable Systems Representation theory of the symmetric group Physics::Atomic and Molecular Clusters Elementary symmetric polynomial 0101 mathematics Axial symmetry Ring of symmetric functions Mathematics Mathematical physics |
| Zdroj: | Cybernetics and Systems Analysis. 53:333-345 |
| ISSN: | 1573-8337 1060-0396 |
| Popis: | A symmetric top is considered, which is a particular case of a mechanical top that is usually described by the canonical Poisson structure on T*SE (3). This structure is invariant under the right action of the rotation group SO(3), but the Hamiltonian of the symmetric top is invariant only under the right action of the subgroup S 1, which corresponds to the rotation of the symmetric top around its axis of symmetry. This Poisson structure is obtained as the reduction T* SE (3) / S 1. A Hamiltonian and motion equations are proposed that describe a wide class of interaction models of the symmetric top with an axially symmetric external field. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink