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Experimental observation of hidden Chua’s attractor

Author

Listed:
  • Wang, Ning
  • Xu, Dan
  • Kuznetsov, N.V.
  • Bao, Han
  • Chen, Mo
  • Xu, Quan

Abstract

Eleven years have passed since the discovery of the first chaotic hidden attractor in Chua system with piecewise-linear nonlinearity. Experimental observation of such attractor is still a hard work as the attraction basin of such hidden attractor does not intersect with any system equilibrium point and is far away from the origin. The key technical difficulty is the accurate configuration of non-zero initial values for dynamic elements. In this Letter, offset control is applied to shift the attraction basin and mapping the non-zero initial values to zero ones. Consequently, the attraction basin is intersect with origin, which allows us to experimentally observe such hidden attractor via pre-discharge all dynamic elements.

Suggested Citation

  • Wang, Ning & Xu, Dan & Kuznetsov, N.V. & Bao, Han & Chen, Mo & Xu, Quan, 2023. "Experimental observation of hidden Chua’s attractor," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923003284
    DOI: 10.1016/j.chaos.2023.113427
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    References listed on IDEAS

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    1. Chen, Mo & Wang, Ankai & Wang, Chao & Wu, Huagan & Bao, Bocheng, 2022. "DC-offset-induced hidden and asymmetric dynamics in Memristive Chua's circuit," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    2. Xianming Wu & Weijie Tan & Huihai Wang, 2020. "Initial Value Determination of Chua System with Hidden Attractors and Its DSP Implementation," Complexity, Hindawi, vol. 2020, pages 1-9, July.
    3. Ding, Shoukui & Wang, Ning & Bao, Han & Chen, Bei & Wu, Huagan & Xu, Quan, 2023. "Memristor synapse-coupled piecewise-linear simplified Hopfield neural network: Dynamics analysis and circuit implementation," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    4. Li, Chunbiao & Sprott, Julien Clinton & Zhang, Xin & Chai, Lin & Liu, Zuohua, 2022. "Constructing conditional symmetry in symmetric chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
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