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Multiple moving agents on complex networks: From intermittent synchronization to complete synchronization

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  • Weng, Tongfeng
  • Chen, Xiaolu
  • Ren, Zhuoming
  • Xu, Jin
  • Yang, Huijie

Abstract

We investigate multiple moving agents on complex networks. Each of them takes a random walk strategy and carries a chaotic oscillator. Remarkably, we find that with increasing the number of agents, a significant transition occurs from intermittent synchronization to complete synchronization. In particular, we observe that the distribution of laminar length presents a clearly power-law behavior in the intermittent synchronization stage. While reaching a complete synchronization state, correlation dimension and recurrence time statistics of synchronous orbits are in excellent agreement with that of their carrying chaotic system under consideration. Our work reveals that the number of moving agents has a profound effect on shaping synchronization behaviors.

Suggested Citation

  • Weng, Tongfeng & Chen, Xiaolu & Ren, Zhuoming & Xu, Jin & Yang, Huijie, 2023. "Multiple moving agents on complex networks: From intermittent synchronization to complete synchronization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 614(C).
    • Handle: RePEc:eee:phsmap:v:614:y:2023:i:c:s0378437123001176
    DOI: 10.1016/j.physa.2023.128562
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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. Steven H. Strogatz & Daniel M. Abrams & Allan McRobie & Bruno Eckhardt & Edward Ott, 2005. "Crowd synchrony on the Millennium Bridge," Nature, Nature, vol. 438(7064), pages 43-44, November.
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    1. Parastesh, Fatemeh & Dayani, Zahra & Bahramian, Alireza & Jafari, Sajad & Chen, Guanrong, 2023. "Performance of synchronization in networks of chaotic systems under different PID coupling schemes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).

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