IIIE   20352
INSTITUTO DE INVESTIGACIONES EN INGENIERIA ELECTRICA "ALFREDO DESAGES"
Unidad Ejecutora - UE
artículos
Título:
Effect of delayed feedback on the dynamics of a scalar map via a frequency-domain approach
Autor/es:
FRANCO S. GENTILE; ANDREA L. BEL; M. BELÉN D'AMICO; JORGE L. MOIOLA
Revista:
CHAOS AN INTERDISCIPLINARY JR OF NONLINEAR SCIENCE
Editorial:
AMER INST PHYSICS
Referencias:
Lugar: New York; Año: 2011 vol. 21 p. 1 - 9
ISSN:
1054-1500
Resumen:
The effect of delayed feedback on the dynamics of a scalar map is studied by using a frequencydomain 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.