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Effective low-dimensional dynamics of a mean-field coupled network of slow-fast spiking lasers

Abstract : Low dimensional dynamics of large networks is the focus of many theoretical works, but controlled laboratory experiments are comparatively very few. Here, we discuss experimental observations on a mean-field coupled network of hundreds of semiconductor lasers, which collectively display effectively low-dimensional mixed mode oscillations and chaotic spiking typical of slow-fast systems. We demonstrate that such a reduced dimensionality originates from the slow-fast nature of the system and of the existence of a critical manifold of the network where most of the dynamics takes place. Experimental measurement of the bifurcation parameter for different network sizes corroborate the theory.
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https://hal.inria.fr/hal-02402118
Contributor : Romain Veltz <>
Submitted on : Tuesday, December 10, 2019 - 12:27:59 PM
Last modification on : Thursday, February 4, 2021 - 3:43:38 PM

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Axel Dolcemascolo, Alexandre Miazek, Romain Veltz, Francesco Marino, Stéphane Barland. Effective low-dimensional dynamics of a mean-field coupled network of slow-fast spiking lasers. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2020, ⟨10.1103/PhysRevE.101.052208⟩. ⟨hal-02402118⟩

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