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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2005 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2005
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/209356 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862611249371545600 |
|---|---|
| author | Rañada, M.F. |
| author_facet | Rañada, M.F. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-29T00:39:13Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209356 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-29T00:39:13Z |
| publishDate | 2005 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion Rañada, M.F. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209356 |
| work_keys_str_mv | AT ranadamf asystemofn3coupledoscillatorswithmagnetictermssymmetriesandintegralsofmotion AT ranadamf systemofn3coupledoscillatorswithmagnetictermssymmetriesandintegralsofmotion |