Experimental implementation of maximally synchronizable networks

R. Sevilla-Escoboza, J.M. Buldú, S. Boccaletti, D. Papo, D.-U. Hwang, G. Huerta-Cuellar and R. Gutiérrez

Physica A: Statistical Mechanics and its Applications, 2016, vol. 448, issue C, 113-121

Abstract: Maximally synchronizable networks (MSNs) are acyclic directed networks that maximize synchronizability. In this paper, we investigate the feasibility of transforming networks of coupled oscillators into their corresponding MSNs. By tuning the weights of any given network so as to reach the lowest possible eigenratio λN/λ2, the synchronized state is guaranteed to be maintained across the longest possible range of coupling strengths. We check the robustness of the resulting MSNs with an experimental implementation of a network of nonlinear electronic oscillators and study the propagation of the synchronization errors through the network. Importantly, a method to study the effects of topological uncertainties on the synchronizability is proposed and explored both theoretically and experimentally.

Keywords: Synchronization; Complex networks; Master stability function; Electronic circuits (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:448:y:2016:i:c:p:113-121

DOI: 10.1016/j.physa.2015.12.086

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