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: Univ Cote dAzur, CNRS, INPHYNI, 1361 Route Lucioles, Valbonne 06560, France; Inria Sophia Antipolis, MathNeuro Team, 2004 Route Lucioles,BP93, Sophia Antipolis 06902, France; CNR, Ist Nazl Ott, Via Sansone 1, I-50019 Sesto Fiorentino, FI, Italy; Ist Nazl Fis Nucl, Sez 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

More Information: The authors acknowledge support of the Region Provence Alpes Cote d´Azur through Project SYNCOP (DEB 15-1383 and DEB 15-1376). F.M. thanks CNRS for funding his stay at Institut de Physique de Nice. This work was conducted within the framework of Project OPTIMAL, granted by the European Union by means of the Fond Europeen de Developpement Regional, FEDER. We thank Dr. Otti d´Huys for many insightful discussions. Numerical simulations were performed using JULIADIFFEQ [36].
KeyWords: Complex networks, nonlinear dynamics, semiconductor lasers
DOI: 10.1103/PhysRevE.101.052208

Citations: 9
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