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Traffic-driven explosive synchronization with adaptive local routing in complex networks

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  • Chen, Jie
  • Cao, Jinde
  • Huang, Wei

Abstract

Despite extensive researches on explosive synchronization, the interplay between it and traffic dynamics has not received enough attentions. In this paper, we develop a traffic-driven Kuramoto-like synchronization model, in which pathway and strength of synchronization are determined by directed flow between the oscillator and its neighbors. We show how combining this model with an adaptive traffic routing based on local dynamic information of phase mismatches induces the explosive synchronization with hysteresis loop, width of which is produced by the difference between forward and backward critical coupling strengths and can be maximized by adjustable routing factors. We demonstrate the validity of such a mechanism in producing explosive synchronization phenomenon for different traffic flow levels, initial frequency distributions, network structures, as well as for both homogeneous and heterogeneous networks. Interestingly, it is found that the critical strength of forward coupling is easily affected by these factors, but backward transition behavior is robust with respect to them. All results indicate that our study can provide a new insight for the control of synchronization behavior in the real-world complex systems.

Suggested Citation

  • Chen, Jie & Cao, Jinde & Huang, Wei, 2023. "Traffic-driven explosive synchronization with adaptive local routing in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000437
    DOI: 10.1016/j.chaos.2023.113142
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    References listed on IDEAS

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    1. Kevin P. O’Keeffe & Hyunsuk Hong & Steven H. Strogatz, 2017. "Oscillators that sync and swarm," Nature Communications, Nature, vol. 8(1), pages 1-13, December.
    2. Chen, Jie & Wu, Chao-Yun & Li, Ming & Hu, Mao-Bin, 2019. "Hybrid traffic dynamics on coupled networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 98-104.
    3. Xiao, Feng & Xie, Lingyun & Wei, Bo, 2022. "Explosive synchronization of weighted mobile oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    4. Sergey V. Buldyrev & Roni Parshani & Gerald Paul & H. Eugene Stanley & Shlomo Havlin, 2010. "Catastrophic cascade of failures in interdependent networks," Nature, Nature, vol. 464(7291), pages 1025-1028, April.
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