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Página principal > Artículos > Artículos publicados > Degenerate Fold-Hopf Bifurcations in a Rössler-Type System |
Fecha: | 2017 |
Resumen: | We study the Hopf and the fold--Hopf bifurcations of the R\"ossler--type differential system * =-y-z, =x ay, =-cz byz, * with b 0. We show that the classical Hopf bifurcation cannot be applied to this system for detecting the fold--Hopf bifurcation, which here is studied using the averaging theory. Our results show that a Hopf bifurcation takes place at the equilibrium (-ac/b,c/b,-c/b) when c=a<0. This Hopf bifurcation becomes a fold--Hopf bifurcation when c=a=0. |
Ayudas: | Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 318999 |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Averaging theory ; Fold-Hopf bifurcation ; Periodic orbit ; Rössler system ; Zero-Hopf bifurcation |
Publicado en: | International journal of bifurcation and chaos in applied sciences and engineering, Vol. 27 Núm. 5 (2017) , p. 1750068, ISSN 1793-6551 |
Postprint 9 p, 288.4 KB |