The emergence of collective synchrony from an incoherent state is a phenomenon
essentially described by the Kuramoto model. This canonical model was derived …

Phase reduction is a dimensionality reduction scheme to describe the dynamics of nonlinear
oscillators with a single phase variable. While it is crucial in synchronization analysis of …

We study the collective behaviors of a large population of Stuart–Landau limit-cycle
oscillators that coupled diffusively and equally with all of the others via the conjugate of the …

Coupled oscillator models are of fundamental importance for understanding the collective
dynamics that underlie many realistic applications ranging from physics and biology to …

A wide variety of systems are described as ensembles of oscillators: from the electric grid to
the brain. A better comprehension of the dynamics of oscillators ensembles is a relevant …