Invariant curves and analytic integrability of a planar vector field
We give an expression of the irreducible invariant curves at the singular point. For analytically integrable systems, we give a reduced expression of its rst integral. This fact allows us to obtain necessary conditions of analytic integrability at degenerate singular points.
| Autores: | ; ; |
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| Tipo de documento: | Artigo |
| Data de publicação: | 2019 |
| País: | España |
| Recursos: | Universidad de Huelva (UHU) |
| Repositório: | Arias Montano. Repositorio Institucional de la Universidad de Huelva |
| Idioma: | Inglês |
| OAI Identifier: | oai:ariasmontano.uhu.es:10272/25426 |
| Acesso em linha: | https://hdl.handle.net/10272/25426 |
| Nível de acesso: | Acesso aberto |
| Palavra-chave: | Ecuaciones diferenciales 1206.02 Ecuaciones Diferenciales |
| Resumo: | We give an expression of the irreducible invariant curves at the singular point. For analytically integrable systems, we give a reduced expression of its rst integral. This fact allows us to obtain necessary conditions of analytic integrability at degenerate singular points. |
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