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Control, electronic circuit application and fractional-order analysis of hidden chaotic attractors in the self-exciting homopolar disc dynamo

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  • Wei, Zhouchao
  • Akgul, Akif
  • Kocamaz, Uğur Erkin
  • Moroz, Irene
  • Zhang, Wei

Abstract

Based on the segmented disc dynamo proposed by H. K. Moffatt, we give out the hidden chaotic attractors, which can show the imperfection in the dynamo model. In this paper. control of hidden chaos in the model is investigated by Lyapunov based nonlinear feedback controllers, sliding mode controllers and hybrid combination of them. Numerical simulations on the comparative analyses are presented. Moreover, with the aid of ORCAD-Pspice and oscilloscope, hidden chaos can be implemented by electronic circuit. Compared with the phase portraits using MATLAB, the simulation results of the oscilloscope outputs verify the effectiveness of electronic circuit design. Finally, in order to consider the effects of fractional order, we analyze the fractional order chaotic system (FOCS) and consider its FPGA implementation for the self-exciting homopolar disc dynamo. The results are helpful for us to better understand the dynamics behavior of disc dynamos.

Suggested Citation

  • Wei, Zhouchao & Akgul, Akif & Kocamaz, Uğur Erkin & Moroz, Irene & Zhang, Wei, 2018. "Control, electronic circuit application and fractional-order analysis of hidden chaotic attractors in the self-exciting homopolar disc dynamo," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 157-168.
    • Handle: RePEc:eee:chsofr:v:111:y:2018:i:c:p:157-168
    DOI: 10.1016/j.chaos.2018.04.020
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    References listed on IDEAS

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    Cited by:

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    2. Deng, Shuning & Ji, Jinchen & Wen, Guilin & Xu, Huidong, 2021. "A comparative study of the dynamics of a three-disk dynamo system with and without time delay," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    3. Nian, Fuzhong & Liu, Xinmeng & Zhang, Yaqiong, 2018. "Sliding mode synchronization of fractional-order complex chaotic system with parametric and external disturbances," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 22-28.

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