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Synchronization of reservoir computing models via a nonlinear controller

Author

Listed:
  • Chen, Xiaolu
  • Weng, Tongfeng
  • Li, Chunzi
  • Yang, Huijie

Abstract

A drive-response scheme of reservoir computers coupled by a nonlinear controller is proposed to realize lag synchronization. Numerical results on several typical chaotic systems have well demonstrated the effectiveness of this scheme. It does not require the computation of the Lyapunov exponents, and can be taken as a key step for a new data-driven route achieving lag synchronization.

Suggested Citation

  • Chen, Xiaolu & Weng, Tongfeng & Li, Chunzi & Yang, Huijie, 2022. "Synchronization of reservoir computing models via a nonlinear controller," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    • Handle: RePEc:eee:phsmap:v:607:y:2022:i:c:s0378437122007634
    DOI: 10.1016/j.physa.2022.128205
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    References listed on IDEAS

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    1. Chen, Xiaolu & Weng, Tongfeng & Gu, Changgui & Yang, Huijie, 2019. "Synchronizing hyperchaotic subsystems with a single variable: A reservoir computing approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Wang, Mengchen & Lu, Xiaowen & Yang, Qi & Ma, Zhongjun & Cheng, Jun & Li, Kezan, 2022. "Pinning control of successive lag synchronization on a dynamical network with noise perturbation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    3. Cai, Shuiming & Zhou, Feilong & He, Qinbin, 2019. "Fixed-time cluster lag synchronization in directed heterogeneous community networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 128-142.
    4. Weng, Tongfeng & Song, Jia & Yang, Huijie & Gu, Changgui & Zhang, Jie & Small, Michael, 2020. "Synchronization of reservoir computers with applications to communications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).
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    Citations

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    Cited by:

    1. Valle, João & Bruno, Odemir M., 2024. "Dynamics and patterns of the least significant digits of the infinite-arithmetic precision logistic map orbits," Chaos, Solitons & Fractals, Elsevier, vol. 180(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).

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