The role of degree-weighted couplings in the synchronous onset of Kuramoto oscillator networks |
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Authors: | Xiang Li |
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Institution: | Department of Electronic Engineering, Fudan University, Handan Road 220, Shanghai 200433, PR China |
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Abstract: | This paper investigates the role of asymmetrical degree-dependent weighted couplings in synchronization of a network of Kuramoto oscillators, where the conditions of coupling criticality for the onset of phase synchronization in degree-weighted complex networks are arrived at. The numerical simulations visualize that for networks having power-law or exponential degree distributions, asymmetrical degree-weighted couplings (with increasing weighting exponent β) increases the critical coupling to achieve the onset of phase synchronization in the networks. |
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Keywords: | Kuramoto model Synchronization criticality Scale-free Random graph Weighted networks |
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