Effective low-dimensional dynamics of a mean-field coupled network of slow-fast spiking lasers
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 lasersDOI: 10.1103/PhysRevE.101.052208Citations: 4data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2021-10-17References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here