A minimal model of self-consistent partial synchrony
- 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.
| Author details: | Pau ClusellaORCiD, Antonio Politi, Michael RosenblumORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1088/1367-2630/18/9/093037 |
| ISSN: | 1367-2630 |
| Title of parent work (English): | NEW JOURNAL OF PHYSICS |
| Publisher: | IOP Publ. Ltd. |
| Place of publishing: | Bristol |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2016 |
| Publication year: | 2016 |
| Release date: | 2020/03/22 |
| Tag: | collective dynamics; coupled oscillators; synchronization |
| Volume: | 18 |
| Number of pages: | 15 |
| Funding institution: | EU project COSMOS [642563] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
| External remark: | Zweitveröffentlichung in der Schriftenreihe Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe ; 890 |
