Mixed-mode oscillations via canard explosions in light-emitting diodes with optoelectronic feedback

Year: 2011

Authors: Marino F., Ciszak M., Abdalah S., Al-Naimee K., Meucci R., Arecchi FT.

Autors Affiliation: Dipartimento di Fisica, Universita di Firenze, Via Sansone 1, I-50019 Sesto Fiorentino, Firenze, Italy; Consiglio Nazionale delle Ricerche, Istituto Nazionale di Ottica, Largo E. Fermi 6, I-50125 Firenze, Italy; High Institute of Telecommunications and Post, Al Salihiya, Baghdad, Iraq; Department of Physics, College of Science,University of Baghdad, Al Jadiriah, Baghdad, Iraq

Abstract: Chaotically spiking attractors in semiconductor lasers with optoelectronic feedback have been recently observed to be the result of canard phenomena in three-dimensional phase space (incomplete homoclinic scenarios). Since light-emitting diodes display the same dynamics and are much more easily controllable, we use one of these systems to complete the attractor analysis demonstrating experimentally and theoretically the occurrence of complex sequences of periodic mixed-mode oscillations. In particular, we investigate the transition between periodic and chaotic mixed-mode states and analyze the effects of the unavoidable experimental noise on these transitions.


Volume: 84 (4)      Pages from: 047201-1  to: 047201-5

More Information: M.C. acknowledges MC-ERG (7th EC Programme) and S.F.A. acknowledges ICTP-TRIL for financial support. This work was partly supported by the contract \”Dinamiche Cerebrali Caotiche\” of Ente Cassa di Risparmio di Firenze.
KeyWords: Attractor analysis; Canard explosion; Complex sequences; Homoclinic; Mixed mode; Mixed mode oscillations; Optoelectronic feedback; Phase spaces, Display devices; Lasers; Light emission; Light emitting diodes; Oscillators (mechanical); Phase space methods; Semiconductor lasers, Semiconductor diodes
DOI: 10.1103/PhysRevE.84.047201

Citations: 43
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