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arXiv · 1607.07178

A minimal model of partial synchrony

Pau Clusella Cobero·Antonio Politi·Michael Rosenblum
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Abstract

We show that self-consistent partial synchrony in globally coupled oscillatory ensembles is a general phenomenon. We analyze in detail appearance and stability properties of this state in possibly the simplest setup of a biharmonic Kuramoto-Daido phase model as well as demonstrate the effect in limit-cycle relaxational Rayleigh oscillators. Such a regime extends the notion of splay state from a uniform to distribution of phases to an oscillating one. Suitable collective observables such as the Kuramoto order parameter allow detecting the presence of a inhomogeneous distribution. The characteristic and most peculiar property of partial synchrony is the difference between the frequencies of single units and that of the macroscopic field.

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Pau Clusella Cobero, Antonio Politi, Michael Rosenblum. 2016-07-25. A minimal model of partial synchrony. https://doi.org/10.1088/1367-2630%2F18%2F9%2F093037

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