On the polynomial integrability of the Hoyer systems
The Hoyer polynomial differential systems depend on nine parameters. We provide necessary conditions in order that these systems have two functionally independent polynomial first integrals. We show that these conditions are not sufficient. Additionally, we illustrate how can be computed the polynom...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2013 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:150611 |
| Acesso em linha: | https://ddd.uab.cat/record/150611 https://dx.doi.org/urn:doi:10.1016/j.jmaa.2012.10.011 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Polynomial first integrals Hoyer systems Homogeneous differential systems |
| Resumo: | The Hoyer polynomial differential systems depend on nine parameters. We provide necessary conditions in order that these systems have two functionally independent polynomial first integrals. We show that these conditions are not sufficient. Additionally, we illustrate how can be computed the polynomial first integrals of these systems using the Kovalevsky exponents. |
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