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Global attractor and asymptotic dynamics in the Kuramoto model for coupled noisy phase oscillators
synchronization Kuramoto model Fokker-Planck PDE global attractor inertial manifold
2011/10/9
Abstract: We study the dynamics of the large N limit of the Kuramoto model of coupled phase oscillators, subject to white noise. We introduce the notion of shadow inertial manifold and we prove their ...
Synchronization Transition in the Kuramoto Model with Colored Noise
Synchronization Transition Colored No Kuramoto Model
2010/4/6
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 scal...
Right on time: Measuring Kuramoto model coupling from a survey of wristwatches
couple doscillators Kuramoto model complex networks synchro-nization
2010/4/7
Using a survey of wristwatch synchronization from a randomly selected group of independent volunteers, one can model the system as a Kuramoto-type coupled oscillator network. Based on the phase data, ...
Dynamical aspects of mean field plane rotators and the Kuramoto model
Synchronization Kuramoto model (ir)reversibility mean field Spin XY model spectral gap inequality
2010/4/8
The Kuramoto model has been introduced in order to describe synchronization phenomena observed in groups of cells, individuals, circuits, etc... We look at the Kuramoto model with white noise forces: ...