Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2
We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of a family of cubic polynomial differential centers when it is perturbed inside the class of all cubic polynomial differential systems. The family considered is the un...
| 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:169452 |
| Acceso en línea: | https://ddd.uab.cat/record/169452 https://dx.doi.org/urn:doi:10.1016/j.amc.2015.10.079 |
| Access Level: | acceso abierto |
| Palabra clave: | Averaging theory Limit cycle Polinomial vector field Weight-homogeneous differential system |
| Sumario: | We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of a family of cubic polynomial differential centers when it is perturbed inside the class of all cubic polynomial differential systems. The family considered is the unique family of weight-homogeneous polynomial differential systems of weight-degree 2 with a center. The computations has been done with the help of the algebraic manipulator Mathematica. |
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