We analyse the dynamics of a network of semiconductor lasers coupled via their mean intensity through a non-linear optoelectronic feedback loop. We establish experimentally the excitable character of a single node, which stems from the slow-fast nature of the system, adequately described by a set of rate equations with three well separated time scales. Beyond the excitable regime, the system undergoes relaxation oscillations where the nodes display canard dynamics. We show numerically that, without noise, the coupled system follows an intricate canard trajectory, with the nodes switching on one by one. While incorporating noise leads to a better correspondence between numerical simulations and experimental data, it also has an unexpected ordering effect on the canard orbit, causing the nodes to switch on closer together in time. We find that the dispersion of the trajectories of the network nodes in phase space is minimized for a non-zero noise strength, and call this phenomenon canard resonance.

我们通过非线性光电反馈回路分析了通过其平均强度耦合的半导体激光器网络的动力学。我们通过实验建立了单个节点的可兴奋特性，该特性源于系统的慢速特性，由一组具有三个分开的时间尺度的速率方程充分描述。在可兴奋状态之外，系统经历松弛振荡，其中节点显示鸭式动力学。我们通过数值表明，在没有噪声的情况下，耦合系统遵循复杂的鸭式轨迹，节点一个接一个地切换。虽然合并噪声可以使数值模拟和实验数据之间有更好的对应关系，但它也会对鸭式轨道产生意想不到的排序效应，导致节点在时间上更靠近地开启。