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A S-type locally active memristor and its application in chaotic circuit

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Abstract

In this paper, a S-type locally active memristor is constructed based on Chua’s unfolding theorem. The analysis of the power-off plot (POP) shows that the introduced memristor has two stable equilibrium states and exhibits bistable characteristics. The S-type DC \(V-I\) plot reveals that the memristor has a locally active region of a negative slope. The equivalent circuit of the memristor working near the operating point of the locally-active region is established, based on small-signal analysis method. Then, an oscillating circuit is constructed based on the memristor. It is found by analysis that this memristive system does have complex dynamical behavior. Finally, an analog circuit is built to verify the theoretical analysis.

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Acknowledgements

This work was supported in part by Hunan Provincial Natural Science Foundation of China (No. 2019JJ40109); 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).

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Authors and Affiliations

  1. School of Computer Science and School of Cyberspace Science, Xiangtan University, Xiangtan, 411105, China

    Zhen Chen & Chunlai Li

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

    Zhen Chen, Chunlai Li, Hongmin Li & Yongyan Yang

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

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

Corresponding author

Correspondence to Chunlai Li.

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Chen, Z., Li, C., Li, H. et al. A S-type locally active memristor and its application in chaotic circuit. Eur. Phys. J. Spec. Top. 231, 3131–3142 (2022). https://doi.org/10.1140/epjs/s11734-022-00563-0

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