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 distribution of phases to an oscillating one. Suitable collective observables such as the Kuramoto order parameter allow detecting the presence of an inhomogeneous distribution. The characteristic and most peculiar property of self-consistent partial synchrony is the difference between the frequency of single units and that of the macroscopic field.
Original language | English |
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Article number | 093037 |
Pages (from-to) | 1-15 |
Number of pages | 15 |
Journal | New Journal of Physics |
Volume | 18 |
DOIs | |
Publication status | Published - 20 Sept 2016 |
Bibliographical note
We wish to acknowledge A Pikovsky and M Zaks for useful discussions. This work has been financially supported by the EU project COSMOS (642563).corrigendum for the article 2016 New J. Phys. 18 093037 Published 15 June 2017 http://iopscience.iop.org/article/10.1088/1367-2630/aa722b
Keywords
- synchronization
- coupled oscillators
- collective dynamics