Many biological and neural systems can be seen as networks of interacting periodic
processes. Importantly, their functionality, ie, whether these networks can perform their …

In this paper, we discuss recent progress in research of ensembles of mean field coupled
oscillators. Without an ambition to present a comprehensive review, we outline most …

Out of equilibrium, a lack of reciprocity is the rule rather than the exception. Non-reciprocity
occurs, for instance, in active matter,,,,–, non-equilibrium systems,–, networks of neurons …

It is shown, under weak conditions, that the dynamical evolution of large systems of globally
coupled phase oscillators with Lorentzian distributed oscillation frequencies is, in an …

We consider a generalization of the Kuramoto model in which the oscillators are coupled to
the mean field with random signs. Oscillators with positive coupling are “conformists”; they …

The dynamical systems found in nature are rarely isolated. Instead they interact and
influence each other. The coupling functions that connect them contain detailed information …

Since the discovery of chimera states, the presence of a nonzero phase lag parameter turns
out to be an essential attribute for the emergence of chimeras in a nonlocally coupled …

We study excitation and suppression of chimera states in an ensemble of nonlocally coupled
oscillators arranged in a framework of multiplex network. We consider the homogeneous …

We design and analyze the dynamics of a large network of theta neurons, which are
idealized type I neurons. The network is heterogeneous in that it includes both inherently …

We develop an approach for the description of the dynamics of large populations of phase
oscillators based on “circular cumulants” instead of the Kuramoto-Daido order parameters …