Amplified signal response in scale-free networks by collaborative signaling
Juan A. Acebron, Sergi Lozano, Alex Arenas

TL;DR
This paper investigates how heterogeneous scale-free network topologies can enhance the response of interconnected bistable elements to weak external signals, combining numerical and analytical methods.
Contribution
It demonstrates that heterogeneity in scale-free networks significantly amplifies external signals, providing new insights into information processing in complex systems.
Findings
Heterogeneous topology enhances signal response
Analytical and numerical results agree in simplified models
Scale-free networks outperform regular networks in signal amplification
Abstract
Many natural and artificial two-states signaling devices are connected forming networks. The information-processing potential of these systems is usually related to the response to weak external signals. Here, using a network of overdamped bistable elements, we study the effect of a heterogeneous complex topology on the signal response. The analysis of the problem in random scale-free networks, reveals that heterogeneity plays a crucial role in amplifying external signals. We have contrasted numerical simulations with analytical calculations in simplified topologies.
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