Artículo

Resonant 1:2 double Hopf bifurcation in an oscillator with delayed feedback

Gentile, Franco SebastiánIcon ; Itovich, Griselda Rut; Moiola, Jorge LuisIcon
Fecha de publicación: 02/2018
Editorial: Springer
Revista: Nonlinear Dynamics
ISSN: 0924-090X
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

In this work, the dynamics of an oscillator with delayed feedback is analyzed. It is found that for certain values of the parameters, the system exhibits a phenomenon known as double Hopf bifurcation with 1:2 resonance. This singularity provokes the interaction between two oscillatory solutions, one of frequency ω and the other with frequency 2 ω. By using the graphical Hopf bifurcation theorem, the system dynamics in a neighborhood of this singularity is explored. Also, with the aid of the package DDE-Biftool, some global bifurcations are detected in order to provide a better understanding of the whole scenario.
Palabras clave: 1:2 Resonance , Graphical Hopf Theorem , Time-Delay Systems
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/64669
DOI: https://dx.doi.org/10.1007/s11071-017-3980-5
URL: https://link.springer.com/article/10.1007/s11071-017-3980-5
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Articulos(IIIE)
Articulos de INST.DE INVEST.EN ING.ELECTRICA "A.DESAGES"
Citación
Gentile, Franco Sebastián; Itovich, Griselda Rut; Moiola, Jorge Luis; Resonant 1:2 double Hopf bifurcation in an oscillator with delayed feedback; Springer; Nonlinear Dynamics; 91; 3; 2-2018; 1779-1789
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