Noise-driven multi-scroll hidden attractor destruction in optical injection semiconductor laser system

Abstract

Within this framework, Langevin noise effects are studied by using a modified rate equations system of semiconductor lasers, endowed with an additional decisive parameter (γ). Relative intensity noise and frequency noise along with noise fluctuations, are calculated and consistently parsed out by means of injection current and γ-parameter variations. As results, the decrease of the γ-value or the increase of the injection current entails a substantial reduction of noise and a multi-parametric control of the relaxation frequency of noise on multiple GHz. Noise-driven multi-scroll hidden attractor (MSHA) destruction is performed using modified intensity fluctuations of noise, through injection current variations in the vicinity of the accurate relaxation frequency for specific γ-values. By means of both new structures of a MSHA deriving from the two-parameter bifurcation analysis, a dynamic variability of the fine structure of the MSHA showcases a strange collapsing scenario through both topological tipping points. The first point gives rise to a strange fibrous structure spreading out of the attractor, which refines and intensifies (like a crystallization of the points cloud juxtaposed in mappings 2D). The second critical point triggers a gradual piercing of that crystal lattice, relying on the fine structure of the MSHA thus making way for a dimensionless blank space as the noise strength increases. The utter destruction of the fine structure of the MSHA occurs for very high noise strengths, clearly shedding light on the disparate impact of different parts making the structure of such chaotic attractor.