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Synchronization of multiple mobile reservoir computing oscillators in complex networks

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  • Weng, Tongfeng
  • Chen, Xiaolu
  • Ren, Zhuoming
  • Yang, Huijie
  • Zhang, Jie
  • Small, Michael

Abstract

We investigate collective behavior of multiply moving reservoir computing oscillators. Each moving oscillator is fitted to a same dynamical system and then wanders a network navigating by random walk strategy. Interestingly, we find that the moving oscillators gradually present a coherent rhythmic behavior when their number is large enough. In this situation, temporal and spatial characteristics of each moving oscillator are in excellent agreement with that of their learned dynamical system under consideration. Remarkably, we show that these reservoir computing oscillators can exhibit significantly distinct collective behaviors that resemble bifurcation phenomenon when changing a critical reservoir parameter. Furthermore, we find that when studying a continuous chaotic system, intermittent synchronization emerges among these reservoir computing oscillators. But there is no evidence of enhanced correlation in the associated laminar length sequence. Our work provides a feasible framework for studying synchronization phenomena of mobile agents in nature when merely observed information is available.

Suggested Citation

  • Weng, Tongfeng & Chen, Xiaolu & Ren, Zhuoming & Yang, Huijie & Zhang, Jie & Small, Michael, 2023. "Synchronization of multiple mobile reservoir computing oscillators in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    • Handle: RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923011190
    DOI: 10.1016/j.chaos.2023.114217
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    References listed on IDEAS

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    1. Hu, Wancheng & Zhang, Yibin & Ma, Rencai & Dai, Qionglin & Yang, Junzhong, 2022. "Synchronization between two linearly coupled reservoir computers," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    2. Chen, Xiaolu & Weng, Tongfeng & Li, Chunzi & Yang, Huijie, 2022. "Equivalence of machine learning models in modeling chaos," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    3. 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.
    4. Leon Glass, 2001. "Synchronization and rhythmic processes in physiology," Nature, Nature, vol. 410(6825), pages 277-284, March.
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    Cited by:

    1. Chen, Yeyuge & Wu, Xiaolongzi & Qian, Yu & Cui, Xiaohua, 2024. "Identifying spiral wave tips with reservoir computing," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).

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