title: Effect of delayed feedback on the dynamics of a scalar map via a frequency-domain approach.
abstract: The effect of delayed feedback on the dynamics of a scalar map is studied by using a frequency-domain approach. Explicit conditions for the occurrence of period-doubling and Neimark-Sacker bifurcations in the controlled map are found analytically. The appearance of a 1:2 resonance for certain values of the delay is also formalized, revealing that this phenomenon is independent of the system parameters. A detailed study of the well-known logistic map under delayed feedback is included for illustration.
authors: Instituto de Investigaciones en Ingeniería Elíctrica Alfredo Desages (UNS-CONICET), Departamento de Ingeniería Eléctrica y de Computadoras, Universidad Nacional del Sur, Av. Alem 1253, B8000CPB Bahía Blanca, Argentina. franco.gentile@uns.edu.ar
authors: Franco S
authors: FS
authors: Gentile
authors: Andrea L
authors: AL
authors: Bel
authors: M
authors: M
authors: Belén D'Amico
authors: Jorge L
authors: JL
authors: Moiola