INVESTIGADORES
D'AMICO Edith Maria Belen
artículos
Título:
Effect of delayed feedback on the dynamics of a scalar map via a frequency-domain approach
Autor/es:
FRANCO GENTILE; ANDREA BEL; MARÍA BELÉN D'AMICO; JORGE MOIOLA
Revista:
CHAOS AN INTERDISCIPLINARY JR OF NONLINEAR SCIENCE
Editorial:
AMER INST PHYSICS
Referencias:
Lugar: New York; Año: 2011 vol. 21 p. 231171 - 231179
ISSN:
1054-1500
Resumen:
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.