Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers
We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of any cubic homogeneous polynomial center when it is perturbed inside the class of all polynomial differential systems of degree 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:145325 |
| Acceso en línea: | https://ddd.uab.cat/record/145325 |
| Access Level: | acceso abierto |
| Palabra clave: | Averaging theory Homogeneous cubic centers Isochronous center Limit cycles Periodic orbit Polinomial vector field |
| Sumario: | We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of any cubic homogeneous polynomial center when it is perturbed inside the class of all polynomial differential systems of degree n. |
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