In this report we recall the famous Huygens' experiment which gave the first evidence of the
synchronization phenomenon. We consider the synchronization of two clocks which are …

It is shown that, in the infinite size limit, certain systems of globally coupled phase oscillators
display low dimensional dynamics. In particular, we derive an explicit finite set of nonlinear …

It is shown, under weak conditions, that the dynamical evolution of large systems of globally
coupled phase oscillators with Lorentzian distributed oscillation frequencies is, in an …

We analyze a large system of globally coupled phase oscillators whose natural frequencies
are bimodally distributed. The dynamics of this system has been the subject of long-standing …

Systems of N identical phase oscillators with global sinusoidal coupling are known to
display low-dimensional dynamics. Although this phenomenon was first observed about 20 …

We analyze the periodically forced Kuramoto model. This system consists of an infinite
population of phase oscillators with random intrinsic frequencies, global sinusoidal coupling …

In order to discover generic effects of heterogeneous communication delays on the
dynamics of large systems of coupled oscillators, this Letter studies a modification of the …

The Kuramoto model, originally proposed to model the dynamics of many interacting
oscillators, has been used and generalized for a wide range of applications involving the …

We consider general heterogeneous ensembles of phase oscillators, sine coupled to
arbitrary external fields. Starting with the infinitely large ensembles, we extend the Watanabe …

Cells in the brain's Suprachiasmatic Nucleus (SCN) are known to regulate circadian rhythms
in mammals. We model synchronization of SCN cells using the forced Kuramoto model …