Critical Networks Exhibit Maximal Information Diversity in Structure-Dynamics Relationships

TL;DR

This paper investigates how the relationship between network structure and dynamics is most diverse at the critical regime, using an information theoretic approach to unify and analyze these relationships.

Contribution

It introduces a unified information theoretic framework to analyze structure-dynamics relationships, highlighting maximal diversity at the critical point.

Findings

Structure-dynamics relationships are most diverse at the critical regime.

Information theoretic measures reveal maximal variability in these relationships.

Critical networks exhibit the greatest complexity in structure-dynamics interactions.

Abstract

Network structure strongly constrains the range of dynamic behaviors available to a complex system. These system dynamics can be classified based on their response to perturbations over time into two distinct regimes, ordered or chaotic, separated by a critical phase transition. Numerous studies have shown that the most complex dynamics arise near the critical regime. Here we use an information theoretic approach to study structure-dynamics relationships within a unified framework and how that these relationships are most diverse in the critical regime.