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

Year: 2020

Authors: Dolcemascolo A., Miazek A., Veltz R., Marino F., Barland S.

Autors Affiliation: Université Côte d’Azur, CNRS, INPHYNI, 1361 Route des Lucioles, 06560 Valbonne, France; Inria Sophia Antipolis, MathNeuro Team, 2004 Route des Lucioles – BP93, 06902 Sophia Antipolis, France; CNR-Istituto Nazionale di Ottica and INFN, Sez. di Firenze, Via Sansone 1, I-50019 Sesto Fiorentino (FI), Italy.

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 corroborates the theory.

Journal/Review: PHYSICAL REVIEW E

Volume: 101      Pages from: 052208-1  to: 052208-9

KeyWords: Complex networks, nonlinear dynamics, semiconductor lasers
DOI: 10.1103/PhysRevE.101.052208

Citations: 5
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