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A simple fractional-order chaotic system based on memristor and memcapacitor and its synchronization application

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  • Akgül, Akif
  • Rajagopal, Karthikeyan
  • Durdu, Ali
  • Pala, Muhammed Ali
  • Boyraz, Ömer Faruk
  • Yildiz, Mustafa Zahid

Abstract

Memelements play an important part in the design of high density memory systems and low power memory. In this paper, we created a novel fractional-order chaotic circuit with a memristor and a memcapacitor with a linear inductor. The various dynamical properties of the fractional-order system are investigated by using some dynamic analysis methods like Lyapunov exponents and bifurcation after the numerical solution for the fractional-order system. In addition, to show the applicative advantages of the proposed chaotic system, we have realized about the synchronization of fractional-order chaotic systems and used it in secure communication systems first time in the literature according to our knowledge. The results of the theoretical analysis and simulation show that the simple fractional-order chaotic system has very rich dynamic properties and can be used in different engineering applications.

Suggested Citation

  • Akgül, Akif & Rajagopal, Karthikeyan & Durdu, Ali & Pala, Muhammed Ali & Boyraz, Ömer Faruk & Yildiz, Mustafa Zahid, 2021. "A simple fractional-order chaotic system based on memristor and memcapacitor and its synchronization application," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921006603
    DOI: 10.1016/j.chaos.2021.111306
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    References listed on IDEAS

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    Cited by:

    1. Du, Chuanhong & Liu, Licai & Zhang, Zhengping & Yu, Shixing, 2022. "A mem-element Wien-Bridge circuit with amplitude modulation and three kinds of offset boosting," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    2. Roxana Motorga & Vlad Mureșan & Mihaela-Ligia Ungureșan & Mihail Abrudean & Honoriu Vălean & Iulia Clitan, 2022. "Artificial Intelligence in Fractional-Order Systems Approximation with High Performances: Application in Modelling of an Isotopic Separation Process," Mathematics, MDPI, vol. 10(9), pages 1-32, April.
    3. Yildirim, Melih, 2022. "Optical color image encryption scheme with a novel DNA encoding algorithm based on a chaotic circuit," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    4. Yanhao Ren & Qiang Luo & Wenlian Lu, 2023. "Synchronization Analysis of Linearly Coupled Systems with Signal-Dependent Noises," Mathematics, MDPI, vol. 11(10), pages 1-15, May.
    5. Huang, Pengfei & Chai, Yi & Chen, Xiaolong, 2022. "Multiple dynamics analysis of Lorenz-family systems and the application in signal detection," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    6. Zhang, Xiaohong & Xu, Jingjing & Moshayedi, Ata Jahangir, 2024. "Design and FPGA implementation of a hyperchaotic conservative circuit with initial offset-boosting and transient transition behavior based on memcapacitor," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    7. Mehmood, Ammara & Raja, Muhammad Asif Zahoor, 2022. "Fuzzy-weighted differential evolution computing paradigm for fractional order nonlinear wiener systems," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

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