Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2
The main goal of this paper is to study the maximum number of limit cycles that bifurcate from the period annulus of the cubic centers that have a rational first integral of degree 2 when they are perturbed inside the class of all cubic polynomial differential systems using the averaging theory. The...
| 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:145305 |
| Acceso en línea: | https://ddd.uab.cat/record/145305 https://dx.doi.org/urn:doi:10.1016/j.amc.2014.11.029 |
| Access Level: | acceso abierto |
| Palabra clave: | Averaging theory Isochronous center Limit cycles Periodic orbit Polynomial vector fields |
| Sumario: | The main goal of this paper is to study the maximum number of limit cycles that bifurcate from the period annulus of the cubic centers that have a rational first integral of degree 2 when they are perturbed inside the class of all cubic polynomial differential systems using the averaging theory. The computations of this work have been made with Mathematica and Maple. |
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