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A new chaotic circuit with multiple memristors and its application in image encryption

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Abstract

In this paper, a new seventh-order mixed memristive chaotic circuit was designed, and the new mathematical model of the system was established. The origin as the only equilibrium point was calculated. Based on the chaotic secret key generated by the memristive chaotic circuit system, the new algorithm of the image encryption was designed. In particular, by using the security analysis methods of gray histogram, correlation and robustness, the security feature of the new encryption algorithm was analyzed. And the results show that the encryption algorithm based on this mixed memristive chaotic system has higher security and better anti-decoding ability. In comparison with the simple model of the memristive chaotic circuit, this new memristive chaotic circuit model has complete RLC structure and multiple memristors. It is closer to the actual memristive chaotic circuit. Thus, it is of great significance to the commercial realization of the memristive circuit. In particular, the memristive chaotic system also provides a valuable model of the system for the research of the related fields.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (Nos. 61672124, 61370145 and 61173183) and the Password Theory Project of the 13th Five-Year Plan National Cryptography Development Fund (No. MMJJ20170203).

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Authors and Affiliations

  1. School of Information Science and Technology, Dalian Maritime University, Dalian, 116026, China

    Xiaolin Ye, Xingyuan Wang & Suo Gao

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

    Jun Mou, Zhisen Wang & Feifei Yang

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  1. Xiaolin Ye
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  2. Xingyuan Wang
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  3. Suo Gao
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  4. Jun Mou
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  5. Zhisen Wang
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  6. Feifei Yang
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Correspondence to Xingyuan Wang.

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Ye, X., Wang, X., Gao, S. et al. A new chaotic circuit with multiple memristors and its application in image encryption. Nonlinear Dyn 99, 1489–1506 (2020). https://doi.org/10.1007/s11071-019-05370-2

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  • DOI: https://doi.org/10.1007/s11071-019-05370-2

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