The phase oscillator model with global coupling is extended to the case of finite-range
nonlocal coupling. Under suitable conditions, peculiar patterns emerge in which a quasi …

We consider a paradigmatic spatially extended model of non-locally coupled phase
oscillators which are uniformly distributed within a one-dimensional interval and interact …

We study the dynamics of a repulsively coupled array of phase oscillators. For an array of
globally coupled identical oscillators, repulsive coupling results in a family of synchronized …

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

The collective phase response to a macroscopic external perturbation of a population of
interacting nonlinear elements exhibiting collective oscillations is formulated for the case of …

A model for synchronization of globally coupled phase oscillators including “inertial” effects
is analyzed. In such a model, both oscillator frequencies and phases evolve in time …

Systems of nonlocally coupled oscillators can exhibit complex spatio-temporal patterns,
called chimera states, which consist of coexisting domains of spatially coherent …

The onset of collective behavior in a population of globally coupled oscillators with randomly
distributed frequencies is studied for phase dynamical models with arbitrary coupling; the …

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 …

We study collective behavior of locally coupled limit-cycle oscillators with random intrinsic
frequencies, spatially extended over d-dimensional hypercubic lattices. Phase …