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Página principal > Artículos > Artículos publicados > Bifurcation of 2-periodic orbits from non-hyperbolic fixed points |
Fecha: | 2018 |
Resumen: | We introduce the concept of 2-cyclicity for families of one-dimensional maps with a non-hyperbolic fixed point by analogy to the cyclicity for families of planar vector fields with a weak focus. This new concept is useful in order to study the number of 2-periodic orbits that can bifurcate from the fixed point. As an application we study the 2-cyclicity of some natural families of polynomial maps. |
Ayudas: | Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-859 |
Nota: | Agraïments: DPI2016-77407-P (AEI/FEDER, UE, third author). |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Bifurcation ; Cyclicity ; Non-hyperbolic fixed point ; Two periodic points |
Publicado en: | Journal of mathematical analysis and applications, Vol. 457 (2018) , p. 568-584, ISSN 1096-0813 |
Postprint 22 p, 333.2 KB |