Abstract Systems that exhibit complex behaviours are often found in a particular dynamical
condition, poised between order and disorder. This observation is at the core of the so …

In a previous work, Villani et al. introduced a method to identify candidate emergent
dynamical structures in complex systems. Such a method detects subsets (clusters) of the …

Systems that exhibit complex behaviours often contain inherent dynamical structures which
evolve over time in a coordinated way. In this paper, we present a methodology based on …

Abstract Identifying Relevant Sets, ie, variable subsets that exhibit a coordinated behavior, in
complex systems is a very relevant research topic. Systems that exhibit complex dynamics …

The identification of critical states is a major task in complex systems, and the availability of
measures to detect such conditions is of utmost importance. In general, criticality refers to the …

Various methods have been proposed to identify emergent dynamical structures in complex
systems. In this paper, we focus on the Dynamical Cluster Index (DCI), a measure based on …

Many complex systems, both natural and artificial, may be represented by networks of
interacting nodes. Nevertheless, it is often difficult to find meaningful correspondences …

The identification of emergent structures in complex dynamical systems is a formidable
challenge. We propose a computationally efficient methodology to address such a …

In many complex systems one observes the formation of medium-level structures, whose
detection could allow a high-level description of the dynamical organization of the system …

Starting from the conceptualization of 'Cluster Index'(CI), Villani et al.[16, 17] implemented
the 'Dynamic Cluster Index'(DCI), an algorithm to perform the detection of subsets of agents …