On the limit cycles of linear differential systems with homogeneous nonlinearities
We consider the class of polynomial differential systems of the form x'= x - y P_n (x, y), y'=x y Q_n (x, y), where P_n and Q_n are homogeneous polynomials of degree n. For this class of differential systems we summarize the known results for the existence of limit cycles, and we provide n...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:145301 |
| Acceso en línea: | https://ddd.uab.cat/record/145301 https://dx.doi.org/urn:doi:10.4153/CMB-2015-062-1 |
| Access Level: | acceso abierto |
| Palabra clave: | Differential equations on the cylinder Limit cycles Polynomial differential system |
| Sumario: | We consider the class of polynomial differential systems of the form x'= x - y P_n (x, y), y'=x y Q_n (x, y), where P_n and Q_n are homogeneous polynomials of degree n. For this class of differential systems we summarize the known results for the existence of limit cycles, and we provide new results for their nonexistence and existence. |
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