A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion
The properties of a system of n = 3 coupled oscillators with linear terms in the velocities (magnetic terms) depending on two parameters are studied. We proved the existence of a bi-Hamiltonian structure arising from a non-symplectic symmetry, as well as the existence of master symmetries and additi...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2005 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2005
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/209356 |
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| Cite this: | A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion / M.F. Rañada // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 23 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-209356 |
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Rañada, M.F. 2025-11-19T12:31:03Z 2005 A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion / M.F. Rañada // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 23 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 37J15; 70H06; 70H33 https://nasplib.isofts.kiev.ua/handle/123456789/209356 https://doi.org/10.3842/SIGMA.2005.004 The properties of a system of n = 3 coupled oscillators with linear terms in the velocities (magnetic terms) depending on two parameters are studied. We proved the existence of a bi-Hamiltonian structure arising from a non-symplectic symmetry, as well as the existence of master symmetries and additional integrals of motion (weak superintegrability) for certain particular values of the parameters. Support of projects BFM-2003-02532 and FPA-2003-02948 is acknowledged. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion |
| spellingShingle |
A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion Rañada, M.F. |
| title_short |
A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion |
| title_full |
A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion |
| title_fullStr |
A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion |
| title_full_unstemmed |
A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion |
| title_sort |
system of n = 3 coupled oscillators with magnetic terms: symmetries and integrals of motion |
| author |
Rañada, M.F. |
| author_facet |
Rañada, M.F. |
| publishDate |
2005 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
The properties of a system of n = 3 coupled oscillators with linear terms in the velocities (magnetic terms) depending on two parameters are studied. We proved the existence of a bi-Hamiltonian structure arising from a non-symplectic symmetry, as well as the existence of master symmetries and additional integrals of motion (weak superintegrability) for certain particular values of the parameters.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/209356 |
| citation_txt |
A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion / M.F. Rañada // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 23 назв. — англ. |
| work_keys_str_mv |
AT ranadamf asystemofn3coupledoscillatorswithmagnetictermssymmetriesandintegralsofmotion AT ranadamf systemofn3coupledoscillatorswithmagnetictermssymmetriesandintegralsofmotion |
| first_indexed |
2025-11-29T00:39:13Z |
| last_indexed |
2025-11-29T00:39:13Z |
| _version_ |
1850885960355545088 |