Resonant response of forced complex networks: the role of topological disorder

TL;DR

This paper studies how topological disorder in complex networks can enhance the system's response to weak signals, revealing a resonance phenomenon influenced by network topology.

Contribution

It introduces the concept of topological-disorder-induced resonance and provides an analytical framework to understand it using mean field theory.

Findings

Resonance occurs at an intermediate level of topological disorder.

Analytical derivation of the effective potential explains the resonance.

Insights into network topology's role in biological signal amplification.

Abstract

We investigate the effect of topological disorder on a system of forced threshold elements, where each element is arranged on top of complex heterogeneous networks. Numerical results indicate that the response of the system to a weak signal can be amplified at an intermediate level of topological disorder, thus indicating the occurrence of topological-disorder-induced resonance. Using mean field method, we obtain an analytical understanding of the resonant phenomenon by deriving the effective potential of the system. Our findings might provide further insight into the role of network topology in signal amplification in biological networks.