We discuss the emergence of spontaneous synchronization for an open spin-pair system
interacting only via a common environment. Under suitable conditions, and even in the …

A complex high-dimensional chaotic behavior, phase chaos, is found in the finite-
dimensional Kuramoto model of coupled phase oscillators. This type of chaos is …

We propose a new model of opinion formation, the Opinion Changing Rate (OCR) model.
Instead of investigating the conditions that allow consensus in a world of agents with …

Phase models describing self-synchronization phenomena in populations of globally
coupled oscillators are generalized including “inertial” effects. This entails that the oscillator …

Swarmalators are oscillatory systems endowed with a spatial component, whose spatial and
phase dynamics affect each other. Such systems can demonstrate fascinating collective …

A nonlinear oscillator model with negative time-delayed feedback is studied numerically
under external deterministic and stochastic forcing. It is found that in the unforced system …

We study the synchronization phenomena in a system of globally coupled oscillators with
time delay in the coupling. The self-consistency equations for the order parameter are …

Power-grids are recognized as the largest man-made machines and their proper functioning
relies heavily on the synchronization and balance of the interconnected devices …

We study how a decrease of the coupling strength causes a desynchronization in the
Kuramoto model of N globally coupled phase oscillators. We show that, if the natural …

About two decades ago it was discovered that systems of nonlocally coupled oscillators can
exhibit unusual symmetry-breaking patterns composed of coherent and incoherent regions …