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A Memristive Hyperjerk Chaotic System: Amplitude Control, FPGA Design, and Prediction with Artificial Neural Network

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  • Ran Wang
  • Chunbiao Li
  • Serdar Çiçek
  • Karthikeyan Rajagopal
  • Xin Zhang
  • Danilo Comminiello

Abstract

An amplitude controllable hyperjerk system is constructed for chaos producing by introducing a nonlinear factor of memristor. In this case, the amplitude control is realized from a single coefficient in the memristor. The hyperjerk system has a line of equilibria and also shows extreme multistability indicated by the initial value-associated bifurcation diagram. FPGA-based circuit realization is also given for physical verification. Finally, the proposed memristive hyperjerk system is successfully predicted with artificial neural networks for AI based engineering applications.

Suggested Citation

  • Ran Wang & Chunbiao Li & Serdar Çiçek & Karthikeyan Rajagopal & Xin Zhang & Danilo Comminiello, 2021. "A Memristive Hyperjerk Chaotic System: Amplitude Control, FPGA Design, and Prediction with Artificial Neural Network," Complexity, Hindawi, vol. 2021, pages 1-17, February.
    • Handle: RePEc:hin:complx:6636813
    DOI: 10.1155/2021/6636813
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    Cited by:

    1. Hu, Yongbing & Li, Qian & Ding, Dawei & Jiang, Li & Yang, Zongli & Zhang, Hongwei & Zhang, Zhixin, 2021. "Multiple coexisting analysis of a fractional-order coupled memristive system and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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