Integrability of Nonholonomic Heisenberg Type Systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Integrability of Nonholonomic Heisenberg Type Systems
|
|
| Creator |
Grigoryev, Y. A.
Sozonov, A.P. Tsiganov, A.V. |
|
| Description |
We show that some modern geometric methods of Hamiltonian dynamics can be directly applied to the nonholonomic Heisenberg type systems. As an example we present characteristic Killing tensors, compatible Poisson brackets, Lax matrices and classical r-matrices for the conformally Hamiltonian vector fields obtained in a process of reduction of Hamiltonian vector fields by a nonholonomic constraint associated with the Heisenberg system.
|
|
| Date |
2019-02-18T14:53:57Z
2019-02-18T14:53:57Z 2016 |
|
| Type |
Article
|
|
| Identifier |
Integrability of Nonholonomic Heisenberg Type Systems / Y. A. Grigoryev, A.P. Sozonov, A.V. Tsiganov // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 25 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 37J60; 70G45; 70H45 DOI:10.3842/SIGMA.2016.112 http://dspace.nbuv.gov.ua/handle/123456789/148541 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|