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.
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| Author details: | Pau ClusellaORCiD, Antonio PolitiORCiD, Michael RosenblumORCiDGND |
|---|---|
| URN: | urn:nbn:de:kobv:517-opus4-436266 |
| DOI: | https://doi.org/10.25932/publishup-43626 |
| ISSN: | 1866-8372 |
| Title of parent work (German): | Postprints der Universität Potsdam : Mathematisch Naturwissenschaftliche Reihe |
| Publication series (Volume number): | Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (890) |
| Publication type: | Postprint |
| Language: | English |
| Date of first publication: | 2020/04/21 |
| Publication year: | 2016 |
| Publishing institution: | Universität Potsdam |
| Release date: | 2020/04/21 |
| Tag: | collective dynamics; coupled oscillators; synchronization |
| Issue: | 890 |
| Number of pages: | 19 |
| Source: | New Journal of Physics 18 (2016) DOI: 10.1088/1367-2630/aa722b |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer review: | Referiert |
| Publishing method: | Open Access |
| License (English): |  Creative Commons - Namensnennung 3.0 Unported |
| External remark: | Bibliographieeintrag der Originalveröffentlichung/Quelle |
