Experimental implementation of maximally synchronizable networks Articles uri icon

authors

  • Sevilla-Escoboza, R.
  • Buldú, J.M.
  • Boccaletti, S.
  • Papo, D.
  • Hwang, D.-U.
  • Huerta-Cuellar, G.
  • GUTIERREZ DIEZ, RICARDO

publication date

  • April 2016

start page

  • 113

end page

  • 121

volume

  • 448

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 lambdaN/lambda2, 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.

subjects

  • Mathematics

keywords

  • synchronization; complex networks; master stability function; electronic circuits