Time-delay optoelectronic oscillators with nonlinear filters: design, bifurcation analysis and some applications telecommunication

This presentation will show the design, and theoretical and experimental analysis of a time-delay optoelectronic oscillators in which a nonlinear filter is introduced in the electronic branch. It is found that the system produces a very rich dynamics including chaotic behavior characterized by positive maximum Lyapunov exponent and high entropy. We demonstrate that with appropriate values of the system parameters, the unique time delay of the system cannot be traced in its dynamics. Such an advantage is exploited in synchronization using a scheme that confirms the use of the hidden time-delay as a key. Moreover, the high entropy behavior of the system combined with post-processing can be used to generate random numbers for small values of the feedback gain with an overall high bit rate. The theoretical results are in excellent agreement with experimental measurements.