Nilpotent saddles of linear plus cubic homogeneous polynomial reversible vector fields
We provide normal forms and the global phase portraits in the Poincaré disk for all planar polynomial vector fields of the form lineal plus cubic homogeneous that are symmetric with respect to the x-axis or to the y-axis and having a nilpotent saddle at the origin.
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2020 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:232165 |
| Acesso em linha: | https://ddd.uab.cat/record/232165 https://dx.doi.org/urn:doi:10.1016/j.bulsci.2020.102873 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Phase portraits Poincaré disc Polynomial vector fields |
| Resumo: | We provide normal forms and the global phase portraits in the Poincaré disk for all planar polynomial vector fields of the form lineal plus cubic homogeneous that are symmetric with respect to the x-axis or to the y-axis and having a nilpotent saddle at the origin. |
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