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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 andtransient relaxation) in binary random composite networks to the framework ofgeneralized eigenvalues, we study and analyze the scaling behavior of thedensity of resonances in these structures. We found that by controlling thedensity of shortcuts (topological randomness) and/or the composite ratio of thebinary links (conductivity disorder), one can effectively shape resonancelandscapes, or suppress long transient delays in the corresponding randomimpedance networks.

Interplay Between Structural Randomness, Composite Disorder, and Electrical Response: Resonances and Transient Delays in Complex Impedance Networks