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Double memristors series hyperchaotic system with attractive coexistence and its circuit implementation


In this paper, the sine function memristor and the cosine function memristor are connected in series, and the constructed series memristor is numerically analyzed through its volt-ampere characteristics, and then the new memristor was introduced into the Rossler system to construct a hyperchaotic system with dual memory elements. The coexistence attractor and fractal phenomena in the system are analyzed, and the fractal dimension of the system is calculated on the basis of fractal theory. In addition, analog circuits corresponding to the system are designed and simulated based on circuit theory. DSP is used for digital circuit experiments to explore the application of this system in practice.

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Data availability statement

This manuscript has associated data in a data repository [Authors’ comment: All data included in this manuscript are available upon request by contacting with the corresponding author.]


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This work was supported by the National Natural Science Foundation of China (Grant No. 62061014); Natural Science Foundation of Liaoning (2020-MS-274); The Basic Scientific Research Projects of Colleges and Universities of Liaoning (Grant No. J202148).

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JW designed and carried out experiments, data analyzed and wrote manuscript. YC and JM made the theoretical guidance for this paper. XL carried out experiment. JM improved the algorithm. All authors reviewed the manuscript.

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Correspondence to Yinghong Cao or Jun Mou.

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Wang, J., Cao, Y., Mou, J. et al. Double memristors series hyperchaotic system with attractive coexistence and its circuit implementation. Eur. Phys. J. Spec. Top. (2021).

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