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

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  • Li, Xiang

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.

Suggested Citation

  • Li, Xiang, 2008. "The role of degree-weighted couplings in the synchronous onset of Kuramoto oscillator networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6624-6630.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:26:p:6624-6630
    DOI: 10.1016/j.physa.2008.06.029
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    Cited by:

    1. Shi Chen & Hong Zhou & Jingang Lai & Yiwei Zhou & Chang Yu, 2020. "Phase Synchronization Stability of Non-Homogeneous Low-Voltage Distribution Networks with Large-Scale Distributed Generations," Energies, MDPI, vol. 13(5), pages 1-24, March.
    2. Pirker-Díaz, Paula & Díaz-Guilera, Albert & Soriano, Jordi, 2024. "Self-regulation of a network of Kuramoto oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).

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