Over the past two decades, complex network theory provided the ideal framework for
investigating the intimate relationships between the topological properties characterizing the …

Percolation and synchronization are two phase transitions that have been extensively
studied since already long ago. A classic result is that, in the vast majority of cases, these …

Coupled biological and chemical systems, neural networks, social interacting species, the
Internet and the World Wide Web, are only a few examples of systems composed by a large …

The availability of large data sets has allowed researchers to uncover complex properties
such as large-scale fluctuations and heterogeneities in many networks, leading to the …

Synchronization processes in populations of locally interacting elements are the focus of
intense research in physical, biological, chemical, technological and social systems. The …

This work systematically investigates a large number of oscillatory network configurations
that are able to describe many real systems such as electric power grids, lasers or even the …

How do diverse dynamical patterns arise from the topology of complex networks? We study
synchronization dynamics in the cortical brain network of the cat, which displays a …

We study synchronization for two unidirectionally coupled networks. This is a substantial
generalization of several recent papers investigating synchronization inside a network. We …

Recently the discrete fractional calculus (DFC) started to gain much importance due to its
applications to the mathematical modeling of real world phenomena with memory effect. In …

Realistic networks display not only a complex topological structure, but also a
heterogeneous distribution of weights in the connection strengths. Here we study …