Critical Networks Exhibit Maximal Information Diversity in   Structure-Dynamics Relationships
  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. 
Matti Nykter, Nathan D. Price, Antti Larjo, Tommi Aho, Stuart A.   Kauffman, Olli Yli-Harja, Ilya Shmulevich