2021/07/01 by Jimmi H. Talla Mbe, Jimmi Hervé Talla Mbé, William Nodem Atchoffo +4 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Amplifier #Chaos control and synchronization #Chaotic #Combinatorics #Computer science #Control theory (sociology) #Dynamical systems theory #Lyapunov exponent #Mathematics #Neural Networks and Reservoir Computing #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Optoelectronics #Physics #Quantum mechanics #Statistical physics #Topology (electrical circuits) #Transfer function
paper · doi:10.1109/jqe.2021.3093902
openalex publication_date 2021/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Time-delayed dynamical systems generally feature smooth nonlinear transfer functions in the feedback loop, such as polynomial or sinusoidal functions. As a consequence, the complexity of their dynamical behavior mainly originates from the time-delay. In this paper, we explore the opposite case where the nonlinear transfer function is complex ( cos2(sinh)), and therefore, non-smooth. We perform a bifurcation analysis of the system, and evidence that this novel type of time-delayed system can display a chaotic behavior characterized by positive maximum Lyapunov exponent and quasi-maximal entropy. The high entropy behavior of the system combined with post-processing are used to generate random numbers for small values of the feedback gain with an overall bit rate up to 1.478 Gb/s. Our theoretical results are in excellent agreement with experimental measurements, performed with an optoelectronic oscillator involving a complex transfer function designed ad hoc.