Impulse-Induced Optimum Signal Amplification in Scale-Free Networks

TL;DR

This paper demonstrates that in scale-free networks, the amplification of signals is maximized when the transmitted impulse of periodic signals is maximized, linking signal energy to network topology for optimal information transfer.

Contribution

The study reveals that impulse maximization enhances topological amplification effects in scale-free networks, combining theoretical analysis and numerical simulations.

Findings

Impulse maximization correlates with increased energy transmission.

Amplification effect is resonant-like with network topology.

Theoretical and numerical results confirm impulse as a key factor.

Abstract

Optimizing information transmission across a network is an essential task for controlling and manipulating generic information-processing systems. Here, we show how topological amplification effects in scale-free networks of signaling devices are optimally enhanced when the $\it{impulse}$ transmitted by periodic external signals (time integral over two consecutive zeros) is maximum. This is demonstrated theoretically by means of a star-like network of overdamped bistable systems subjected to $\it{generic}$ zero-mean periodic signals, and confirmed numerically by simulations of scale-free networks of such systems. Our results show that the enhancer effect of increasing values of the signal's impulse is due to a correlative increase of the energy transmitted by the periodic signals, while it is found to be resonant-like with respect to the topology-induced amplification mechanism.