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Synchronization between two linearly coupled reservoir computers

Author

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  • Hu, Wancheng
  • Zhang, Yibin
  • Ma, Rencai
  • Dai, Qionglin
  • Yang, Junzhong

Abstract

Reservoir computing, using a model-free algorithm, has drawn considerable attention in the past few years. In this work, we use a reservoir computer to reconstruct the attractor of its learned chaotic system. We present a form of interaction between two reservoir computers inspired by the diffusion coupling of oscillators. By mixing the readout of two reservoir computers with an appropriate coupling strength, we present the complete synchronization of reservoir computers. Numerical experiments are performed to verify the theory.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922000935
    DOI: 10.1016/j.chaos.2022.111882
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    References listed on IDEAS

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    1. L. Appeltant & M.C. Soriano & G. Van der Sande & J. Danckaert & S. Massar & J. Dambre & B. Schrauwen & C.R. Mirasso & I. Fischer, 2011. "Information processing using a single dynamical node as complex system," Nature Communications, Nature, vol. 2(1), pages 1-6, September.
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    Cited by:

    1. Chen, Xiaolu & Weng, Tongfeng & Li, Chunzi & Yang, Huijie, 2022. "Equivalence of machine learning models in modeling chaos," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    2. Huang, Changwei & Luo, Yijun & Han, Wenchen, 2023. "Cooperation and synchronization in evolutionary opinion changing rate games," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    3. Zhou, Ping & Ma, Jun & Xu, Ying, 2023. "Phase synchronization between neurons under nonlinear coupling via hybrid synapse," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    4. 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).
    5. Ma, Rencai & Dai, Qionglin & Li, Haihong & Yang, Junzhong, 2023. "Dynamics reconstruction in the presence of bistability by using reservoir computer," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

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