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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 ...
Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays
synchronous solutions propagation delays
2010/4/2
We study the existence and stability of synchronous solutions in a continuum field of non-locally coupled identical phase oscillators with distance-dependent propagation delays. We present a comprehen...
Synchronization Transition of Identical Phase Oscillators in a Directed Small-World Network
Synchronization Transition Identical Phase Oscillators Directed Small-World Network
2010/4/6
We numerically study a directed small-world network consisting of attractively coupled, identical phase oscillators. While complete synchronization is always stable, it is not always reachable from ra...
Clustering and Synchronization in an Array of Repulsively
Coupled Phase Oscillators
phase oscillators clustering synchronization
2007/8/15
2007Vol.48No.1pp.159-162DOI:
Clustering and Synchronization in an Array of Repulsively
Coupled Phase Oscillators
LI Juan, WU Liang, and ZHU Shi-Qun
School of Physical Sc...