Limit cycles of polynomial differential equations with quintic homogenous nonlinearities
In this paper we mainly study the number of limit cycles which can bifurcate from the periodic orbits of the two centers x˙ = -y, y˙ = x; x˙ = -y(1 - (x2 + y2)2), y˙ = x(1 - (x2 + y2)2); when they are perturbed inside the class of all polynomial differential systems with quintic homogenous nonlinear...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150593 |
| Acceso en línea: | https://ddd.uab.cat/record/150593 https://dx.doi.org/urn:doi:10.1016/j.jmaa.2013.04.076 |
| Access Level: | acceso abierto |
| Palabra clave: | Limit cycle Periodic orbit Center Reversible center Averaging method |
| Sumario: | In this paper we mainly study the number of limit cycles which can bifurcate from the periodic orbits of the two centers x˙ = -y, y˙ = x; x˙ = -y(1 - (x2 + y2)2), y˙ = x(1 - (x2 + y2)2); when they are perturbed inside the class of all polynomial differential systems with quintic homogenous nonlinearities. We do this study using the averaging theory of first, second and third order. |
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