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Página principal > Artículos > Artículos publicados > Limit cycles of polynomial differential equations with quintic homogenous nonlinearities |
Fecha: | 2013 |
Resumen: | 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. |
Ayudas: | Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 316338 European Commission 318999 |
Nota: | Agraïments: The second author is partially supported by the Algerian Ministry of Higher Education and Scientific Research. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Limit cycle ; Periodic orbit ; Center ; Reversible center ; Averaging method |
Publicado en: | Journal of mathematical analysis and applications, Vol. 407 Núm. 1 (2013) , p. 16-22, ISSN 1096-0813 |
Postprint 10 p, 628.0 KB |