منابع مشابه
Synchronization transition in the Kuramoto model with colored noise.
We present a linear stability analysis of the incoherent state in a system of globally coupled identical phase oscillators subject to colored noise. In that we succeed to bridge the extreme time scales between the formerly studied and analytically solvable cases of white noise and quenched random frequencies.
متن کاملModular Synchronization in Complex Network with a Gauge Kuramoto Model
We modify the Kuramoto equation(KE) by introducing a gauge term which is a function of link betweenness centrality(BC). The gauge term induces the phase difference from 0 to π between two nodes that belong to different modules. Therefore, a synchronization occurs in each module individually even though the whole network is not synchronized globally. By measuring the phase similarity of all pair...
متن کاملModular synchronization in complex networks with a gauge Kuramoto model
We modify the Kuramoto model for synchronization on complex networks by introducing a gauge term that depends on the edge betweenness centrality (BC). The gauge term introduces additional phase difference between two vertices from 0 to π as the BC on the edge between them increases from the minimum to the maximum in the network. When the network has a modular structure, the model generates the ...
متن کاملInfluence of noise on the synchronization of the stochastic Kuramoto model.
We consider the Kuramoto model of globally coupled phase oscillators subject to Ornstein-Uhlenbeck and non-Gaussian colored noise and investigate the influence of noise on the order parameter of the synchronization process. We use numerical methods to study the dependence of the threshold as well as the maximum degree of synchronization on the correlation time and the strength of the noise, and...
متن کاملSynchronization in the Kuramoto model: a dynamical gradient network approach.
We propose a dynamical gradient network approach to consider the synchronization in the Kuramoto model. Our scheme to adaptively adjust couplings is based on the dynamical gradient networks, where the number of links in each time interval is the same as the number of oscillators, but the links in different time intervals are also different. The gradient network in the (n+1)th time interval is d...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2010
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.81.055201