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Synchronizing hyperchaotic subsystems with a single variable: A reservoir computing approach

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  • Chen, Xiaolu
  • Weng, Tongfeng
  • Gu, Changgui
  • Yang, Huijie

Abstract

We adopt the machine learning technique known as “reservoir computing” to investigate hyperchaos synchronism. Interestingly, we find that by virtue of this approach, synchronization of hyperchaotic subsystems is available via only one dynamical variable. Specifically, we show that by sending just a single variable, synchronization of hyperchaotic subsystem and its learned reservoir computer can be achieved. In the same fashion, one can further observe synchronism in the trained reservoir computers even when their learned hyperchaotic subsystems are mismatched. Moreover, we demonstrate that the synchronization of interest is robust in the presence of relatively high levels of extensive noise. Our work provides an alternative way of realizing synchronization in hyperchaotic systems.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:534:y:2019:i:c:s0378437119313160
    DOI: 10.1016/j.physa.2019.122273
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    References listed on IDEAS

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    Cited by:

    1. Shoreh, A.A.-H. & Kuznetsov, N.V. & Mokaev, T.N., 2022. "New adaptive synchronization algorithm for a general class of complex hyperchaotic systems with unknown parameters and its application to secure communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).
    2. 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).
    3. Chen, Xiaolu & Weng, Tongfeng & Li, Chunzi & Yang, Huijie, 2022. "Equivalence of machine learning models in modeling chaos," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    4. Chen, Xiaolu & Weng, Tongfeng & Yang, Huijie, 2023. "Synchronization of spatiotemporal chaos and reservoir computing via scalar signals," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    5. Zhao, Lu & Sun, Zhongkui & Tang, Ming & Guan, Shuguang & Zou, Yong, 2023. "Learning successive weak synchronization transitions and coupling directions by reservoir computing," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    6. Liu, Yang & Gao, Jian & Wang, Haiying & Semba, Sherehe & Gu, Changgui & Yang, Huijie, 2022. "Families’ influence on romantic relationship and its reconstruction," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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