Pulse-train solutions and excitability in an optoelectronic oscillator
Department of Physics, Duke University - Durham, NC 27708, USA
2 Institut für Theoretische Physik, Technische Universität Berlin - Hardenbergstr. 36, D-10623 Berlin, Germany, EU
Accepted: 7 September 2011
We study an optoelectronic time-delay oscillator with bandpass filtering for different values of the filter bandwidth. Our experiments show novel pulse-train solutions with pulse widths that can be controlled over a three-order–of–magnitude range, with a minimum pulse width of ∼150 ps. The equations governing the dynamics of our optoelectronic oscillator are similar to the FitzHugh-Nagumo model from neurodynamics with delayed feedback in the excitable and oscillatory regimes. Using a nullclines analysis, we derive an analytical proportionality between pulse width and the low-frequency cutoff of the bandpass filter, which is in agreement with experiments and numerical simulations. Furthermore, the nullclines help to describe the shape of the waveforms.
PACS: 42.82.Fv – Hybrid systems / 05.45.-a – Nonlinear dynamics and chaos / 87.19.lr – Control theory and feedback
© EPLA, 2011