# Synchronization of phase oscillators with heterogeneous coupling: A solvable case

@article{Paissan2008SynchronizationOP, title={Synchronization of phase oscillators with heterogeneous coupling: A solvable case}, author={G. Paissan and D. Zanette}, journal={Physica D: Nonlinear Phenomena}, year={2008}, volume={237}, pages={818-828} }

We consider an extension of Kuramoto’s model of coupled phase oscillators where oscillator pairs interact with different strengths. When the coupling coefficient of each pair can be separated into two different factors, each one associated to an oscillator, Kuramoto’s theory for the transition to synchronization can be explicitly generalized, and the effects of coupling heterogeneity on synchronized states can be analytically studied. The two factors are respectively interpreted as the weight… Expand

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