  We study the interplay between structural and conductivity (composite)
disorder and the collective electrical response in random networks models.
Translating the problem of time-dependent electrical response (resonance and
transient relaxation) in binary random composite networks to the framework of
generalized eigenvalues, we study and analyze the scaling behavior of the
density of resonances in these structures. We found that by controlling the
density of shortcuts (topological randomness) and/or the composite ratio of the
binary links (conductivity disorder), one can effectively shape resonance
landscapes, or suppress long transient delays in the corresponding random
impedance networks.
