TY  - GEN
A1  - Clusella, Pau
A1  - Politi, Antonio
A1  - Rosenblum, Michael
T1  - A minimal model of self-consistent partial synchrony
T2  - Postprints der Universität Potsdam : Mathematisch Naturwissenschaftliche Reihe
N2  - 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.
T3  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 890 
KW  - synchronization
KW  - collective dynamics
KW  - coupled oscillators
Y1  - 2020
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-436266
SN  - 1866-8372
IS  - 890
ER  - 
TY  - JOUR
A1  - Clusella, Pau
A1  - Politi, Antonio
A1  - Rosenblum, Michael
T1  - A minimal model of self-consistent partial synchrony
JF  - NEW JOURNAL OF PHYSICS
N2  - 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.
KW  - synchronization
KW  - collective dynamics
KW  - coupled oscillators
Y1  - 2016
U6  - https://doi.org/10.1088/1367-2630/18/9/093037
SN  - 1367-2630
VL  - 18
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -