Canard resonance: on noise-induced ordering of trajectories in heterogeneous networks of slow-fast systems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Physics: Photonics Année : 2020

Canard resonance: on noise-induced ordering of trajectories in heterogeneous networks of slow-fast systems

Résumé

We analyze the dynamics of a network of semiconductor lasers coupled via their mean intensity through a nonlinear 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.

Dates et versions

hal-03047172 , version 1 (08-12-2020)

Identifiants

Citer

Otti d'Huys, Romain Veltz, Axel Dolcemascolo, Francesco Marino, Stephane Barland. Canard resonance: on noise-induced ordering of trajectories in heterogeneous networks of slow-fast systems. Journal of Physics: Photonics, inPress, ⟨10.1088/2515-7647/abcbe3⟩. ⟨hal-03047172⟩
52 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More