IIIE 20352
INSTITUTO DE INVESTIGACIONES EN INGENIERIA ELECTRICA "ALFREDO DESAGES"
Unidad Ejecutora - UE
artículos
Título:
Resonant 1:2 double Hopf bifurcation in an oscillator with delayed feedback
Autor/es:
GENTILE, F. S.; GENTILE, F. S.; ITOVICH, G. R.; ITOVICH, G. R.; MOIOLA, J. L.; MOIOLA, J. L.
Revista:
NONLINEAR DYNAMICS
Editorial:
SPRINGER
Referencias:
Año: 2017 p. 1779 - 1789
ISSN:
0924-090X
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 ωand the other with frequency 2ω. 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.
