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Página principal > Artículos > Artículos publicados > Limit cycles for a variant of a generalized Riccati equation |
Fecha: | 2017 |
Resumen: | In this paper we provide a lower bound for the maximum number of limit cycles surrounding the origin of systems (x, y = x) given by a variant of the generalized Riccati equation \[ x x^2n 1 x b x^4n 3=0, \] where b>0, b \R, n is a non--negative integer and is a small parameter. The tool for proving this result uses Abelian integrals. |
Ayudas: | Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 318999 Ministerio de Economía y Competitividad MTM2013-40998-P |
Nota: | Agraïments: The second author is partially supported by FCT/Portugal through UID/MAT/04459/2013 |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Abelian integrals ; Generalized Riccati system ; Limit cycles ; Weak 16th Hilbert problem |
Publicado en: | Applied mathematics letters, Vol. 68 (2017) , p. 76-79, ISSN 0893-9659 |
Postprint 5 p, 726.8 KB |