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Comment on “A hidden chaotic attractor in the classical Lorenz system”

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  • Sprott, J.C.
  • Munmuangsaen, Buncha

Abstract

In this short communication, we comment on the recent report of a hidden attractor in the classical Lorenz system. We contend that the reported system gives instead a chaotic transient whose duration approaches infinity at a critical value of the parameters. We caution others who are searching for hidden attractors to consider carefully the possibility that the attractor is instead a transient chaotic set.

Suggested Citation

  • Sprott, J.C. & Munmuangsaen, Buncha, 2018. "Comment on “A hidden chaotic attractor in the classical Lorenz system”," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 261-262.
    • Handle: RePEc:eee:chsofr:v:113:y:2018:i:c:p:261-262
    DOI: 10.1016/j.chaos.2018.06.007
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    1. Munmuangsaen, Buncha & Srisuchinwong, Banlue, 2018. "A hidden chaotic attractor in the classical Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 61-66.
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    Cited by:

    1. Cang, Shijian & Wang, Luo & Zhang, Yapeng & Wang, Zenghui & Chen, Zengqiang, 2022. "Bifurcation and chaos in a smooth 3D dynamical system extended from Nosé-Hoover oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    2. Peng, Xuenan & Zeng, Yicheng, 2020. "Image encryption application in a system for compounding self-excited and hidden attractors," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    3. Surendar, R. & Muthtamilselvan, M. & Ahn, Kyubok, 2024. "Stochastic disturbance with finite-time chaos stabilization and synchronization for a fractional-order nonautonomous hybrid nonlinear complex system via a sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    4. Dali, Ali & Abdelmalek, Samir & Bakdi, Azzeddine & Bettayeb, Maamar, 2023. "A class of PSO-tuned controllers in Lorenz chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 430-449.
    5. Faradja, Philippe & Qi, Guoyuan, 2020. "Analysis of multistability, hidden chaos and transient chaos in brushless DC motor," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    6. Yu, Hui & Du, Shengzhi & Dong, Enzeng & Tong, Jigang, 2022. "Transient behaviors and equilibria-analysis-based boundary crisis analysis in a smooth 4D dynamical system," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    7. Wu, Qiujie & Hong, Qinghui & Liu, Xiaoyang & Wang, Xiaoping & Zeng, Zhigang, 2020. "A novel amplitude control method for constructing nested hidden multi-butterfly and multiscroll chaotic attractors," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    8. Ahmad, Shabir & Ullah, Aman & Akgül, Ali, 2021. "Investigating the complex behaviour of multi-scroll chaotic system with Caputo fractal-fractional operator," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    9. 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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