  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 $\lambda_N/\lambda_2$, 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.
