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 …

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 …

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

Synchronous rhythms represent a core mechanism for sculpting temporal coordination of
neural activity in the brain-wide network. This review focuses on oscillations in the cerebral …

When the local field potential of a cortical network displays coherent fast oscillations (∼ 40-
Hz gamma or∼ 200-Hz sharp-wave ripples), the spike trains of constituent neurons are …

Perception, cognition and behavior rely on flexible communication between microcircuits in
distinct cortical regions. The mechanisms underlying rapid information rerouting between …

In model networks of E-cells and I-cells (excitatory and inhibitory neurons, respectively),
synchronous rhythmic spiking often comes about from the interplay between the two cell …

The theory of coupled phase oscillators provides a framework to understand the emergent
properties of networks of neuronal oscillators. When the architecture of the network is …

Although gap junctions were first demonstrated in the mammalian brain about 30 years ago,
the distribution and role of electrical synapses have remained elusive. A series of recent …

Recently, non-reciprocal systems have become a focus of growing interest. Examples occur
in soft and active matter, but also in engineered quantum materials and neural (brain) …