Canard resonance: on noise-induced ordering of trajectories in heterogeneous networks of slow-fast systems
| Autor: | Francesco Marino, Romain Veltz, Otti D'Huys, Stephane Barland, A. Dolcemascolo |
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| Přispěvatelé: | Aston University [Birmingham], Mathématiques pour les Neurosciences (MATHNEURO), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Institut de Physique de Nice (INPHYNI), Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA), Istituto Nazionale di Ottica [Firenze] (INO-CNR), Consiglio Nazionale delle Ricerche (CNR), Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), National Research Council of Italy | Consiglio Nazionale delle Ricerche (CNR), Dept. of Advanced Computing Sciences, RS: FSE DACS, RS: FSE DACS Mathematics Centre Maastricht |
| Rok vydání: | 2021 |
| Předmět: |
Programming Models noise STOCHASTIC RESONANCE MIXED-MODE OSCILLATIONS semiconductor lasers laser dynamics Topology 01 natural sciences Noise (electronics) Resonance (particle physics) 010305 fluids & plasmas slow-fast systems 0103 physical sciences Electrical and Electronic Engineering 010306 general physics Dispersion (water waves) Physics COHERENCE RESONANCE BIFURCATION fully connected networks Relaxation (iterative method) DRIVEN Feedback loop SEMICONDUCTOR-LASERS stochastic differential equations Atomic and Molecular Physics and Optics Electronic Optical and Magnetic Materials slow-fast dynamical systems EXCITABILITY Phase space Trajectory Orbit (dynamics) Mathematical Methods Mathematical and Simulation Modeling: Other [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] |
| Zdroj: | Journal of Physics: Photonics Journal of Physics: Photonics, IOP Science, In press, ⟨10.1088/2515-7647/abcbe3⟩ Journal of Physics: Photonics, inPress, ⟨10.1088/2515-7647/abcbe3⟩ JPhys Photonics, 3(2):024010. IOP Publishing Ltd. |
| ISSN: | 2515-7647 |
| DOI: | 10.1088/2515-7647/abcbe3 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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