The Hojman Construction and Hamiltonization of Nonholonomic Systems
In this paper, using the Hojman construction, we give examples of various Poisson brackets which differ from those which are usually analyzed in Hamiltonian mechanics. They possess a nonmaximal rank, and in the general case an invariant measure and Casimir functions can be globally absent for them.
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| Дата: | 2016 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147435 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Hojman Construction and Hamiltonization of Nonholonomic Systems / I.A. Bizyaev, A.V. Borisov, I.S. Mamaev // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 41 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147435 |
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irk-123456789-1474352019-02-15T01:23:32Z The Hojman Construction and Hamiltonization of Nonholonomic Systems Bizyaev, I.A. Borisov, A.V. Mamaev, I.S. In this paper, using the Hojman construction, we give examples of various Poisson brackets which differ from those which are usually analyzed in Hamiltonian mechanics. They possess a nonmaximal rank, and in the general case an invariant measure and Casimir functions can be globally absent for them. 2016 Article The Hojman Construction and Hamiltonization of Nonholonomic Systems / I.A. Bizyaev, A.V. Borisov, I.S. Mamaev // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 41 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37J60; 37J05 DOI:10.3842/SIGMA.2016.012 http://dspace.nbuv.gov.ua/handle/123456789/147435 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this paper, using the Hojman construction, we give examples of various Poisson brackets which differ from those which are usually analyzed in Hamiltonian mechanics. They possess a nonmaximal rank, and in the general case an invariant measure and Casimir functions can be globally absent for them. |
| format |
Article |
| author |
Bizyaev, I.A. Borisov, A.V. Mamaev, I.S. |
| spellingShingle |
Bizyaev, I.A. Borisov, A.V. Mamaev, I.S. The Hojman Construction and Hamiltonization of Nonholonomic Systems Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Bizyaev, I.A. Borisov, A.V. Mamaev, I.S. |
| author_sort |
Bizyaev, I.A. |
| title |
The Hojman Construction and Hamiltonization of Nonholonomic Systems |
| title_short |
The Hojman Construction and Hamiltonization of Nonholonomic Systems |
| title_full |
The Hojman Construction and Hamiltonization of Nonholonomic Systems |
| title_fullStr |
The Hojman Construction and Hamiltonization of Nonholonomic Systems |
| title_full_unstemmed |
The Hojman Construction and Hamiltonization of Nonholonomic Systems |
| title_sort |
hojman construction and hamiltonization of nonholonomic systems |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147435 |
| citation_txt |
The Hojman Construction and Hamiltonization of Nonholonomic Systems / I.A. Bizyaev, A.V. Borisov, I.S. Mamaev // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 41 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:27:41Z |
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