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 …

Many fish species gather by the thousands and swim in harmony with seemingly no effort.
Large schools display a range of impressive collective behaviors, from simple shoaling to …

Biological organisms achieve robust high-level behaviours by combining and coordinating
stochastic low-level components,–. By contrast, most current robotic systems comprise either …

What happens in our brain when we make a decision? What triggers a neuron to send out a
signal? What is the neural code? This textbook for advanced undergraduate and beginning …

The emergence of synchronization in a network of coupled oscillators is a fascinating
subject of multidisciplinary research. This survey reviews the vast literature on the theory …

Robust stability and control for systems that combine continuous-time and discrete-time
dynamics. This article is a tutorial on modeling the dynamics of hybrid systems, on the …

Rhythmic behavior represents one of the most striking and ubiquitous manifestations of
functional evolution for a wide class of natural and man-made systems. The emergence of …

The study of networks pervades all of science, from neurobiology to statistical physics. The
most basic issues are structural: how does one characterize the wiring diagram of a food …

This paper provides a theoretical framework for analysis of consensus algorithms for multi-
agent networked systems with an emphasis on the role of directed information flow …