The role of degree-weighted couplings in the synchronous onset of Kuramoto oscillator networks

Xiang Li

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 26, 6624-6630

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.

Keywords: Kuramoto model; Synchronization criticality; Scale-free; Random graph; Weighted networks (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:26:p:6624-6630

DOI: 10.1016/j.physa.2008.06.029

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