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A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers
We prove a sufficient condition for the existence of explicit first integrals for vector fields which admit an integrating factor. This theorem recovers and extends previous results in the literature on the integrability of vector fields which are volume preserving and possess nontrivial normalizers...
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Інститут математики НАН України
2012
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/148427 |
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irk-123456789-1484272019-02-19T01:23:33Z A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers Llibre, J. Peralta-Salas, D. We prove a sufficient condition for the existence of explicit first integrals for vector fields which admit an integrating factor. This theorem recovers and extends previous results in the literature on the integrability of vector fields which are volume preserving and possess nontrivial normalizers. Our approach is geometric and coordinate-free and hence it works on any smooth orientable manifold. 2012 Article A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers / J. Llibre, D. Peralta-Salas // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 21 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 34C05; 34A34; 34C14 DOI: http://dx.doi.org/10.3842/SIGMA.2012.035 http://dspace.nbuv.gov.ua/handle/123456789/148427 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 |
We prove a sufficient condition for the existence of explicit first integrals for vector fields which admit an integrating factor. This theorem recovers and extends previous results in the literature on the integrability of vector fields which are volume preserving and possess nontrivial normalizers. Our approach is geometric and coordinate-free and hence it works on any smooth orientable manifold. |
| format |
Article |
| author |
Llibre, J. Peralta-Salas, D. |
| spellingShingle |
Llibre, J. Peralta-Salas, D. A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Llibre, J. Peralta-Salas, D. |
| author_sort |
Llibre, J. |
| title |
A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers |
| title_short |
A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers |
| title_full |
A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers |
| title_fullStr |
A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers |
| title_full_unstemmed |
A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers |
| title_sort |
note on the first integrals of vector fields with integrating factors and normalizers |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148427 |
| citation_txt |
A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers / J. Llibre, D. Peralta-Salas // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 21 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
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| first_indexed |
2023-05-20T17:30:40Z |
| last_indexed |
2023-05-20T17:30:40Z |
| _version_ |
1796153456456630272 |