Experimental chaotic map generated by picosecond laser pulse-seeded electro-optic nonlinear delay dynamics

Abstract

We describe experimental studies of the dynamical behavior of a recently proposed electro-optic discrete time nonlinear delay oscillator. With appropriate choice of the oscillator loop parameters and external forcing of the dynamics using a pulsed laser source, the system allows for the physical realization of a high dimensional mathematical nonlinear mapping. The dynamical features observed with this new class of discrete time delay oscillator differ significantly from those observed with similar continuous time nonlinear delay feedback oscillators and reveal the intrinsic discrete time nature of the dynamics. We also discuss specific applications to chaos communications using regularly clocked binary data.

Delayed dynamical systems: networks, chimeras and reservoir computing

“…Temporal discretization arises naturally in many experimental implementations of delay systems. The opto-electronic feedback system with a pulsed laser described in §2 is one such example [55,64]. Further, many experimental delay systems implement the delay line with a synchronously clocked shift register because of the ability to easily vary the delay [30,33,34,37,41,53,65].…”

Synchronization of two coupled multimode oscillators with time-delayed feedback

“…Study of synchronization effects in systems of coupled oscillators is an important problem of the modern nonlinear dynamics [1][2][3][4][5]. In particular, a problem of synchronization of time-delayed systems is of great importance because such systems are widespread in neuronal dynamics, nonlinear optics, biophysics, geophysics, telecommunication and information engineering, economics, and ecology [3,[6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. Systems with time delay are usually described by functional delay-differential equations (DDEs).…”

“…Systems with time delay are usually described by functional delay-differential equations (DDEs). DDEs are known to have infinite-dimensional phase space [17,18] and are capable of demonstrating a variety of dynamic regimes including chaos [3,[9][10][11][12]15].…”