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A new simple chaotic circuit based on memristor and meminductor

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Abstract

In this paper, a new chaotic circuit composed of memristor, meminductor, and capacitor in series is presented. The dimensionless mathematical model of the circuit is built. Then, the dynamical characteristics of chaotic systems varying with parameters are analyzed in detail. Besides, some peculiar phenomena such as the coexisting attractors and state transition are discovered. Finally, the circuit is implemented with DSP, and the numerical simulation results are verified. The accuracy of theoretical analysis is verified. The numerical simulation results show which the dynamic characteristics of this new chaotic system are very rich.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 62061014 and Nos. 61773010); The Natural Science Foundation of Liaoning province (2020-MS-274); The Basic Scientific Research Projects of Colleges and Universities of Liaoning Province (Grant Nos. J202148).

Funding

The national natural science foundation of china, 62061014, Yinghong Cao, 61773010, Jian Liu, natural science foundation of Liaoning province, 2020-MS-274, Jun Mou, basic scientific research projects of colleges and universities of Liaoning province, LJKZ0545, Jun Mou

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Authors and Affiliations

  1. School of Information Science and Engineering, Dalian Polytechnic University, Dalian, 116034, China

    Xingce Liu, Jun Mou, Jieyang Wang & Yinghong Cao

  2. School of Mathematical Sciences, University of Jinan, Jinan, 250022, China

    Jian Liu

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  1. Xingce Liu
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  2. Jun Mou
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Contributions

Xingce Liu designed and carried out experiments, data analyzed and manuscript wrote. Jun Mou and Yinghong Cao made the theoretical guidance for this paper. Jieyang Wang and Jian Liu improved the algorithm. All authors reviewed the manuscript.

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Correspondence to Jun Mou or Yinghong Cao.

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Liu, X., Mou, J., Wang, J. et al. A new simple chaotic circuit based on memristor and meminductor. Eur. Phys. J. Plus 136, 1182 (2021). https://doi.org/10.1140/epjp/s13360-021-02182-5

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