Collective ordering behaviors are typical macroscopic manifestations embedded in complex
systems and can be ubiquitously observed across various physical backgrounds. Elements …

The optimization of synchronization on distributed power grids is an important topic in recent
years. We extensively study the optimization by restructuring grid topology in terms of …

Motivated by the modernized power grid, we consider a synchronization transition (ST) of
the Kuramoto model (KM) with a mixture of first-and second-order type oscillators with …

The inclusion of inertia in the Kuramoto model has long been reported to change the nature
of a phase transition, providing a fertile ground to model the dynamical behaviors of …

We study populations of oscillators, all-to-all coupled by means of quenched disordered
phase shifts. While there is no traditional synchronization transition with a nonvanishing …

We study populations of globally coupled noisy rotators (oscillators with inertia) allowing a
nonequilibrium transition from a desynchronized state to a synchronous one (with the …

Nonlinear isolated and coupled oscillators are extensively studied as prototypical nonlinear
dynamics models. Much attention has been devoted to oscillator synchronization or the lack …

Partially synchronized solitary states occur frequently when a synchronous system of
networked oscillators is perturbed locally. Remarkably, several asymptotic states of different …

Impact of noise in coupled oscillators with pairwise interactions has been extensively
explored. Here, we study stochastic second-order coupled Kuramoto oscillators with higher …

Motivated by the decentralized power grid, we consider a synchronization transition (ST) of
the Kuramoto model (KM) with a mixture of first-and second-order type oscillators with …