New Nonlinear Analysis, Chaos Theory and Information Technology Approach to Studying Dynamics of the the Erbium One-Ring Fibre Laser

Abstract

Within new non-linear analysis, chaos theory and information technology approach it is numerically investigated chaos dynamics generation in the erbium one-ring fibre laser (EDFL, 20.9 mV strength, l = 1550.190 nm) with the control parameters: the modulation frequency f and dc bias voltage of the electro-optical modulator. It is shown that in depending upon f, V values there are realized 1-period (f = 75 MHz, V = 10 V and f = 60 MHz, V = 4 V), 2-period (f = 68 MHz, V = 10 V or f = 60 MHz, V = 6 V), chaotic (f = 64 MHz, V = 10 V and f = 60 MHz, V = 10 V) regimes. There are calculated the Lyapunov’s exponents, correlation, embedding, Kaplan-York dimensions, Kolmogorov entropy. Theoretically it is shown that a chaos in the erbium fiber laser device is generated via intermittency by increasing the DC bias voltage and period-doubling bifurcation by reducing the modulation frequency.