IIIE 20352
INSTITUTO DE INVESTIGACIONES EN INGENIERIA ELECTRICA "ALFREDO DESAGES"
Unidad Ejecutora - UE
artículos
Título:
On the study of bifurcations in delay-differential equations: A frequency-domain approach
Autor/es:
GENTILE, F. S.; MOIOLA, J. L.; PAOLINI, E.E.
Revista:
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Editorial:
WORLD SCIENTIFIC PUBL CO PTE LTD
Referencias:
Lugar: Singapur; Año: 2012 vol. 22 p. 1 - 15
ISSN:
0218-1274
Resumen:
An improved version of a frequency-domain approach to study bifurcations in delay-dfferential equations is presented. The proposed methodology provides information about the frequency, amplitude, and stability of the orbit emerging from Hopf bifurcation. We apply this method to different schemes of the delayed van der Pol oscillator. The time-delay dependence can appear intrinsically because of the system dynamics or can be intentionally introduced in a feedback loop. Also, a discussion about system controllability and observability is given for a proper and rigorous application of the frequency domain technique. Collateral findings involving some types of static bifurcations are included for completeness.
