Global phase portraits of kukles differential systems with homogenous polynomial nonlinearities of degree 5 having a center
We provide 22 different global phase portraits in the Poincaré disk of all centers of the so called Kukles polynomial differential systems of the form ẋ = -y, ẏ = x + Q5(x, y), where Q5 is a real homogeneous polynomial of degree 5 defined in R2.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:307749 |
| Acceso en línea: | https://ddd.uab.cat/record/307749 https://dx.doi.org/urn:doi:10.12775/TMNA.2016.049 |
| Access Level: | acceso abierto |
| Palabra clave: | Centers Kukles Polynomial vector fields Phase portrait Poincaré disk |
| Sumario: | We provide 22 different global phase portraits in the Poincaré disk of all centers of the so called Kukles polynomial differential systems of the form ẋ = -y, ẏ = x + Q5(x, y), where Q5 is a real homogeneous polynomial of degree 5 defined in R2. |
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