Excitable response of a noisy adaptive network of spiking lasers
S. Barland, O. D'Huys, and R. Veltz

TL;DR
This study investigates how a network of semiconductor lasers responds to external stimuli, revealing the role of phase space separatrices and noise, with implications for network robustness and structure.
Contribution
It provides experimental and theoretical insights into the excitable behavior of laser networks and highlights the impact of noise and network size on their response.
Findings
Larger networks are more robust to uncorrelated noise in simulations.
Experimental results show smaller networks are more excitable.
Global noise affects the adaptive coupling and network response.
Abstract
We analyze experimentally and theoretically the response of a network of spiking nodes to external perturbations. The experimental system consists of an array of semiconductor lasers that are adaptively coupled through an optoelectronic feedback signal. This coupling signal can be tuned from one to all to globally coupled and makes the network collectively excitable. We relate the excitable response of the network to the existence of a separatrix in phase space and analyze the effect of noise close to this separatrix. We find numerically that larger networks are more robust to uncorrelated noise sources in the nodes than small networks, in contrast to the experimental observations. We remove this discrepancy considering the impact of a global noise term in the adaptive coupling signal and discuss our observations in relation to the network structure.
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