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Capacitive effects can make memristors chaotic

Author

Listed:
  • Guseinov, D.V.
  • Matyushkin, I.V.
  • Chernyaev, N.V.
  • Mikhaylov, A.N.
  • Pershin, Y.V.

Abstract

In this paper we analyze cycle-to-cycle variations in the dynamics of an abstract second-order system with memory whose response involves both resistive and capacitive components. The internal state variables in the model are the filament length and charge accumulated within the device. The dynamics is studied under the condition of periodic driving. Even with the simplest assumptions on the shape of window and capture functions, periodic, intermittent and chaotic dynamical modes are found. Bifurcation diagrams are presented showing the variety of dynamical modes. Our results indicate that the system posses a chaotic attractor in state space, and the transition to chaos occurs via the intermittency scenario. Some analytical results are presented.

Suggested Citation

  • Guseinov, D.V. & Matyushkin, I.V. & Chernyaev, N.V. & Mikhaylov, A.N. & Pershin, Y.V., 2021. "Capacitive effects can make memristors chaotic," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    • Handle: RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077921000527
    DOI: 10.1016/j.chaos.2021.110699
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    References listed on IDEAS

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    1. Dowling, Vincent J. & Slipko, Valeriy A. & Pershin, Yuriy V., 2021. "Probabilistic memristive networks: Application of a master equation to networks of binary ReRAM cells," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    2. Spagnolo, B. & Valenti, D. & Guarcello, C. & Carollo, A. & Persano Adorno, D. & Spezia, S. & Pizzolato, N. & Di Paola, B., 2015. "Noise-induced effects in nonlinear relaxation of condensed matter systems," Chaos, Solitons & Fractals, Elsevier, vol. 81(PB), pages 412-424.
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    Cited by:

    1. Xiu, Chunbo & Fang, Jingyao & Ma, Xin, 2022. "Design and circuit implementations of multimemristive hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. Parit, Aditya Kuber & Yadav, Mani Shankar & Gupta, Avinash Kumar & Mikhaylov, Alexey & Rawat, Brajesh, 2021. "Design and modeling of niobium oxide-tantalum oxide based self-selective memristor for large-scale crossbar memory," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    3. Huang, Lilian & Liu, Jin & Xiang, Jianhong & Zhang, Zefeng & Du, Xiuli, 2022. "A construction method of N-dimensional non-degenerate discrete memristive hyperchaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    4. Wang, Yang & Li, Huanyun & Guan, Yan & Chen, Mingshu, 2022. "Predefined-time chaos synchronization of memristor chaotic systems by using simplified control inputs," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    5. Lin, Hairong & Wang, Chunhua & Sun, Jingru & Zhang, Xin & Sun, Yichuang & Iu, Herbert H.C., 2023. "Memristor-coupled asymmetric neural networks: Bionic modeling, chaotic dynamics analysis and encryption application," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).

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