Complex systems are very often organized under the form of networks where nodes and
edges are embedded in space. Transportation and mobility networks, Internet, mobile phone …

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

The combination of the compactness of networks, featuring small diameters, and their
complex architectures results in a variety of critical effects dramatically different from those in …

Many complex networks display strong heterogeneity in the degree (connectivity)
distribution. Heterogeneity in the degree distribution often reduces the average distance …

The propensity for synchronization of complex networks with directed and weighted links is
considered. We show that a weighting procedure based upon the global structure of network …

We consider maximization of the synchronizability of oscillator networks by assigning
weights and directions to the links of a given interaction topology. By extending the master …

We study a simple model of information propagation in social networks, where two quantities
are introduced: the spread factor, which measures the average maximal reachability of the …

Publisher Summary This chapter presents the case of two coupled identical systems. The
chapter describes the first historical studies on complete synchronization (CS) phenomena …

We consider two optimization problems on synchronization of oscillator networks:
maximization of synchronizability and minimization of synchronization cost. We first develop …

There is experimental evidence that the neuronal network in some areas of the brain cortex
presents the scale-free property, ie, the neuron connectivity is distributed according to a …