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A single-T chaotic circuit based on a physical memristor

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Abstract

In this paper, a single-T chaotic circuit with physical memristor is designed. The dynamic properties of this system are analyzed through phase diagram, Lyapunov exponent spectrum, bifurcation diagram, and Poincaré map. The system produces rich dynamic behaviors such as stable points, limit cycles, chaos under different initial values and circuit parameters. In addition, some strange phenomena such as coexisting attractors, state transition, transient chaos, and steady-state chaos accompanied by burst period phenomena are also studied in this system. All the results will provide some guidelines for physical implementation based on memristor.

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Acknowledgements

The authors sincerely thank the anonymous reviewers for their valuable comments that have led to the present improved version of the original manuscript.

This work was supported by the National Natural Science Foundation of China (Grant Nos. 62176143, 61703246, 61703247), the Natural Science Foundation of Shandong Province (ZR202102270187), the Talented Young Teachers Training Program of Shandong University of Science and Technology, the Taishan Scholar Project of Shandong Province of China, and the Elite Project of Shandong University of Science and Technology.

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Authors and Affiliations

  1. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 266590, China

    Mei Guo, Yongliang Zhu, Ran Yang, Meng Zhang, Kaixuan Zhao, Hai Yang & Gang Dou

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  1. Mei Guo
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  2. Yongliang Zhu
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  3. Ran Yang
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  4. Meng Zhang
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  5. Kaixuan Zhao
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  6. Hai Yang
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  7. Gang Dou
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Correspondence to Gang Dou.

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Guo, M., Zhu, Y., Yang, R. et al. A single-T chaotic circuit based on a physical memristor. Eur. Phys. J. Spec. Top. 231, 3163–3170 (2022). https://doi.org/10.1140/epjs/s11734-022-00565-y

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