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A Discrete Memristor Coupled Two-Dimensional Generalized Square Hyperchaotic Maps

Author

Listed:
  • YANJIE MA

    (School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, P. R. China†School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, P. R. China)

  • JUN MOU

    (School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, P. R. China†School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, P. R. China)

  • JINSHI LU

    (School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, P. R. China)

  • SANTO BANERJEE

    (��Department of Mathematical Sciences, Giuseppe Luigi Lagrange, Politecnico di Torino, Corso Duca Degli Abruzzi 24, Torino, Italy)

  • YINGHONG CAO

    (School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, P. R. China†School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, P. R. China)

Abstract

In this paper, a new discrete chaotic map is constructed by introducing a discrete memristor in two-dimensional generalized square maps to enhance its chaotic performance. First, the fixed points of the new maps are analyzed, and the effects of different parameters on the system performance are investigated by bifurcation diagrams, Lyapunov exponential spectra and phase diagrams. Second, the fixed points of the new maps are analyzed, and the effects of different parameters on the system performance are investigated by bifurcation diagrams, Lyapunov exponential spectra and phase diagrams. The distinctive characteristic of a discrete system is the coexistence of various types of attractors, and there is coexistence of hyperchaos and cycles in the present maps. It is worth mentioning that symmetric chaotic attractors with different positive and negative parameters are found during the study. In addition, the phenomenon of state transition between chaos and cycles is also found. Finally, the discrete maps are designed and implemented using a DSP platform. The results of the study provide a reference for the application of discrete amnesic chaotic maps.

Suggested Citation

  • Yanjie Ma & Jun Mou & Jinshi Lu & Santo Banerjee & Yinghong Cao, 2023. "A Discrete Memristor Coupled Two-Dimensional Generalized Square Hyperchaotic Maps," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(06), pages 1-10.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:06:n:s0218348x23401369
    DOI: 10.1142/S0218348X23401369
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    Cited by:

    1. Han, Zhitang & Sun, Bo & Banerjee, Santo & Mou, Jun, 2024. "Biological neuron modeling based on bifunctional memristor and its application in secure communication," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).

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