Nonlinear dynamics of a Liénard delayed-feedback optoelectronic oscillator

We present an optoelectronic oscillator (OEO) that is capable of generating complex and rich dynamics including stable periodic oscillations and broadband chaos. The OEO under analysis here is based on a resonant tunneling diode (RTD) oscillator driving a laser diode and a time-delayed feedback loop. The RTD based OEO is well described as a a Lienard oscillator with delayed-feedback. When subjected to external perturbation, the RTD-OEO generates periodic and chaotic states that are controlled by the delayed-feedback loop characteristics. The implemented numerical Lienard optoelectronic oscillator provides a simple way to study time-delayed dynamical systems containing negative resistance oscillators.