Abstract
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.
Original language | English |
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Article number | 024010 |
Number of pages | 14 |
Journal | JPhys Photonics |
Volume | 3 |
Issue number | 2 |
DOIs | |
Publication status | Published - Apr 2021 |
JEL classifications
- c69 - "Mathematical Methods; Programming Models; Mathematical and Simulation Modeling: Other"
Keywords
- excitability
- fully connected networks
- laser dynamics
- noise
- semiconductor lasers
- slow-fast dynamical systems
- slow-fast systems
- stochastic differential equations
- DRIVEN
- SEMICONDUCTOR-LASERS
- EXCITABILITY
- MIXED-MODE OSCILLATIONS
- COHERENCE RESONANCE
- BIFURCATION
- STOCHASTIC RESONANCE