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

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 …

The hypothesis, that cortical dynamics operates near criticality also suggests, that it exhibits
universal critical exponents which marks the Kuramoto equation, a fundamental model for …

The second-order Kuramoto equation describes the synchronization of coupled oscillators
with inertia, which occur, for example, in power grids. On the contrary to the first-order …

Previous simulation studies on human connectomes suggested that critical dynamics
emerge subcritically in the so-called Griffiths phases. Now we investigate this on the largest …

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 …

We study a model with excitable neurons modeled as stochastic units with three states,
representing quiescence, firing, and refractoriness. The transition rates between quiescence …

Cascade failures in power grids occur when the failure of one component or subsystem
causes a chain reaction of failures in other components or subsystems, ultimately leading to …

The Kuramoto model has provided deep insights into synchronization phenomena and
remains an important paradigm to study the dynamics of coupled oscillators. Yet, despite its …

Partial, frustrated synchronization, and chimera-like states are expected to occur in
Kuramoto-like models if the spectral dimension of the underlying graph is low: ds< 4⁠. We …