We study remote (or relay) synchronization in multilayer networks between parts of one layer
and their counterparts in a second layer, where these two layers are not directly connected …

A widely held assumption on network dynamics is that similar components are more likely to
exhibit similar behavior than dissimilar ones and that generic differences among them are …

Symmetries are ubiquitous in network systems and have profound impacts on the
observable dynamics. At the most fundamental level, many synchronization patterns are …

Within a differential–algebraic framework, this paper studies the leader-following consensus
problem for networks of a class of strictly different nonlinear systems. In this case, by …

Spontaneous oscillations on the order of several hertz are the drivers of many crucial
processes in nature. From bacterial swimming to mammal gaits, converting static energy …

Symmetry breaking—the phenomenon in which the symmetry of a system is not inherited by
its stable states—underlies pattern formation, superconductivity and numerous other effects …

Symmetries in a network regulate its organization into functional clustered states. Given a
generic ensemble of nodes and a desirable cluster (or group of clusters), we exploit the …

An outstanding problem in the study of networks of heterogeneous dynamical units concerns
the development of rigorous methods to probe the stability of synchronous states when the …

We analyze the influence of music in a network of FitzHugh-Nagumo oscillators with
empirical structural connectivity measured in healthy human subjects. We report an increase …

Complex networks consisting of several interacting layers allow for remote synchronization
of distant layers via an intermediate relay layer. We extend the notion of relay …