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A simple chaotic circuit with magnetic flux-controlled memristor

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Abstract

In this paper, we build a simple chaotic circuit by introducing a new magnetic flux-controlled memristor model. The basic dynamics, such as the type of equilibrium point, phase diagram, bifurcation diagram, and Lyapunov exponent spectrum, are studied theoretically and numerically. It is found that this memristor circuit has complex nonlinear behavior, including coexistence bifurcation, transient dynamics, and anti-monotonicity. The salient feature of the memristor chaotic circuit is that the initial conditions of both the memristor and system can realize the modulation of the position and amplitude of the attractor. To verify the chaotic characteristics of the system, an analog circuit is designed and the experimental results provide the consistency with the numerical simulation.

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Acknowledgements

This work was supported in part by Hunan Provincial Natural Science Foundation of China (nos. 2019JJ40109, 2020JJ4337); Research Foundation of Education Bureau of Hunan Province of China (no. 19C0864); Science and Technology Program of Hunan Province (no. 2019TP1014); research and innovation project of the graduate students of Hunan Institute of Science and Technology (no. YCX2020A36); Science and Research Creative Team of Hunan Institute of Science and Technology (no. 2019-TD-10).

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Authors and Affiliations

  1. Key Laboratory of Hunan Province on Information Photonics and Freespace Optical Communications, Hunan Institute of Science and Technology, Yueyang, 414006, China

    Chunlai Li, Yongyan Yang, Jianrong Du & Zhen Chen

  2. College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang, 414006, China

    Chunlai Li, Yongyan Yang, Jianrong Du & Zhen Chen

Authors
  1. Chunlai Li
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  2. Yongyan Yang
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  3. Jianrong Du
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  4. Zhen Chen
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Contributions

Paper conception: CL and JD. Experimental conception and design: YY. Experiment implementation: JD. Software simulation: ZC and YY. Data analysis: YY and ZC. Paper writing: CL.

Corresponding author

Correspondence to Jianrong Du.

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Li, C., Yang, Y., Du, J. et al. A simple chaotic circuit with magnetic flux-controlled memristor. Eur. Phys. J. Spec. Top. 230, 1723–1736 (2021). https://doi.org/10.1140/epjs/s11734-021-00181-2

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  • DOI: https://doi.org/10.1140/epjs/s11734-021-00181-2

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