Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …

Synchronization occurs in many natural and technological systems, from cardiac pacemaker
cells to coupled lasers. In the synchronized state, the individual cells or lasers coordinate the …

The human cortex is never at rest but in a state of sparse and noisy neural activity that can
be detected at broadly diverse resolution scales. It has been conjectured that such a state is …

Recent advances in machine learning (ML) have facilitated its application to a wide range of
systems, from complex to quantum. Reservoir computing algorithms have proven particularly …

Systems with non-reciprocal interactions generically display time-dependent states. These
are routinely observed in finite systems, from neuroscience to active matter, in which globally …

Non-reciprocal interactions in many-body systems lead to time-dependent states, commonly
observed in biological, chemical, and ecological systems. The stability of these states in the …

We present an alternative approach to finite-size effects around the synchronization
transition in the standard Kuramoto model. Our main focus lies on the conditions under …

In these notes, we provide a perspective on the theoretical framework built on the Kuramoto
model, a paradigm in the study of synchronized behavior in coupled oscillator models …

We consider the two-dimensional (2D) noisy Kuramoto model of synchronization with short-
range coupling and a Gaussian distribution of intrinsic frequencies, and investigate its …

We perform a stochastic model reduction of the Kuramoto–Sakaguchi model for finitely many
coupled phase oscillators with phase frustration. Whereas in the thermodynamic limit …