When parallels and meridians are limit cycles for polynomial vector fields on quadrics of revolution in the euclidean 3-space
We study polynomial vector fields of arbitrary degree in R^3 with an invariant quadric of revolution. We characterize all the possible configurations of invariant meridians and parallels that these vector fields can exhibit. Furthermore we analyze when these invariant meridians and parallels can be...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2016 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:169483 |
| Acesso em linha: | https://ddd.uab.cat/record/169483 https://dx.doi.org/urn:doi:10.1142/S0218127416501601 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Invariant meridian Invariant parallel Limit cycle Periodic orbit Polynomial vector field |
| Resumo: | We study polynomial vector fields of arbitrary degree in R^3 with an invariant quadric of revolution. We characterize all the possible configurations of invariant meridians and parallels that these vector fields can exhibit. Furthermore we analyze when these invariant meridians and parallels can be limit cycles. |
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