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Extreme multistability and state transition on a physical memristor–memcapacitor-based chaotic circuit

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Abstract

In this paper, a fifth-order chaotic circuit with extreme multistability is designed based on the physical memristor and memcapacitor (equivalent circuit based on physical memristor). This chaotic circuit possesses plane equilibrium, and extreme multistability produces when infinitely many attractors are coexisted for the same set of system parameters. Some conventional methods of characterizing chaotic motion are used to investigate system dynamics, such as stability analysis, phase diagrams, Lyapunov exponents spectra and bifurcation diagrams. By changing the initial values and parameters of the system, the coexistence of chaotic attractors and the state transition phenomena are observed. This study is conducive to explore the inner mechanisms and seek potential applications of this physical memristor–memcapacitor-based chaotic circuit.

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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 (ZR2021MF001), the Talented Young Teachers Training Program of Shandong University of Science and Technology, 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

    Gang Dou, Jiandong Liu, Meng Zhang, Kaixuan Zhao & Mei Guo

Authors
  1. Gang Dou
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  2. Jiandong Liu
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  3. Meng Zhang
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  4. Kaixuan Zhao
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  5. Mei Guo
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Correspondence to Mei Guo.

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Dou, G., Liu, J., Zhang, M. et al. Extreme multistability and state transition on a physical memristor–memcapacitor-based chaotic circuit. Eur. Phys. J. Spec. Top. 231, 3151–3161 (2022). https://doi.org/10.1140/epjs/s11734-022-00644-0

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