Physical review. E, Statistical, nonlinear, andâ€¦

2012

We analyze the Kuramoto model generalized by explicit consideration of deterministically time-varying parameters. The oscillators' natural frequencies and/or couplings are influenced by externalâ€¦ (More)

We consider the Kuramoto model of an ensemble of interacting oscillators allowing for an arbitrary distribution of frequencies and coupling strengths. We define a family of traveling wave states asâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2014

The Kuramoto model with time-varying parameters has been extended to consider the effect of delay in couplings. A collective dynamics arises from the interplay between the time scales of the originalâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2013

We introduce a way of characterizing an ensemble of interacting oscillators in terms of their mean-field variability index Îº, a dimensionless parameter defined as the variance of the oscillators'â€¦ (More)

Architecture of phase relationships among neural oscillations is central for their functional significance but has remained theoretically poorly understood. We use phenomenological model ofâ€¦ (More)

The Kuramoto model (KM) is extended to incorporate at a basic level one of the most fundamental properties of living systems â€“ their inherent time-variability. In building the model, we encompassâ€¦ (More)