Under a variety of conditions, stochastic and non-linear systems with many degrees of
freedom tend to evolve towards complexity and criticality. Over the last decades, a steady …

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 …

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 …

Abstract The Relevance Index method has been shown to be effective in identifying
Relevant Sets in complex systems, ie, variable sub-sets that exhibit a coordinated behavior …

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 …

The identification of system's parts that rule its dynamics and the understanding of its
dynamical organisation is a paramount objective in the analysis of complex systems. In …

Networks are often used to represent the relations among the variables of a dynamical
system. The properties of network topology are usually exploited to understand the …

We present an improvement of a method that aims at detecting important dynamical
structures in complex systems, by identifying subsets of elements that show tight and …