On the limit cycles surrounding a diagonalizable linear node with homogeneous nonlinearities
In this paper we study the existence and non-existence of limit cycles for the class of polynomial differential systems of the form ẋ=λx+Pn(x,y),ẏ=μy+Qn(x,y),where Pn and Qn are homogeneous polynomials of degree n.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:221377 |
| Acceso en línea: | https://ddd.uab.cat/record/221377 https://dx.doi.org/urn:doi:10.1016/j.aml.2019.07.002 |
| Access Level: | acceso abierto |
| Palabra clave: | Polynomial differential systems Polynomial vector fields Limit cycles |
| Sumario: | In this paper we study the existence and non-existence of limit cycles for the class of polynomial differential systems of the form ẋ=λx+Pn(x,y),ẏ=μy+Qn(x,y),where Pn and Qn are homogeneous polynomials of degree n. |
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