2016/10/17 by Marco Tulio Angulo, Angulo, Marco Tulio, Gábor Lippner +5
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Artificial intelligence #Biological Physics (physics.bio-ph) #Complex Network Analysis Techniques #Complex network #Complex system #Computer science #Degree (music) #Distributed computing #Engineering #FOS: Electrical engineering #FOS: Mathematics #FOS: Physical sciences #Limit (mathematics) #Mathematics #Nonlinear Dynamics and Pattern Formation #Opinion Dynamics and Social Influence #Optimization and Control (math.OC) #Physics #Sensitivity (control systems) #Statistical physics #Systems and Control (eess.SY) #Thermodynamic limit #Topology (electrical circuits) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1610.05264
openalex publication_date 2016/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The sensitivity (i.e. dynamic response) of complex networked systems has not been well understood, making difficult to predict whether new macroscopic dynamic behavior will emerge even if we know exactly how individual nodes behave and how they are coupled. Here we build a framework to quantify the sensitivity of complex networked system of coupled dynamic units. We characterize necessary and sufficient conditions for the emergence of new macroscopic dynamic behavior in the thermodynamic limit. We prove that these conditions are satisfied only for architectures with power-law degree distributions. Surprisingly, we find that highly connected nodes (i.e. hubs) only dominate the sensitivity of the network up to certain critical frequency.