A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers
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| Creator |
Llibre, J.
Peralta-Salas, D. |
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| 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.
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| Date |
2019-02-18T12:15:20Z
2019-02-18T12:15:20Z 2012 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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