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Multiscroll Chaos and Extreme Multistability of Memristive Chaotic System with Application to Image Encryption

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Abstract

Purpose

Memristor has attracted extensive research interest and hot discussions in recent years. This paper reports new chaotic system with non-ideal memristor whose internal state is determined by extensible piecewise-linear function, and investigates the application of this system to image encryption.

Methods

Its stabilities of equilibria and complex dynamics are studied. With the change of parameter, the coexisting double-scroll attractors will degenerate into coexisting periodic attractors via bifurcation and split into double number of coexisting single-scroll attractors.

Results

The system can generate multiscroll attractors with any number of scrolls and are easily broken into any number of coexisting double-scroll attractors. This suggests that the introduction of the memristor can enable chaotic system to exhibit more complex and diverse dynamic behaviors.

Conclusions

NIST test and circuit realization are given to verify its physical existence and engineering applicability. In addition, a comprehensive evaluation of the designed efficient chaos-based image encryption algorithm verifies its ability to effectively protect the confidentiality and privacy of image contents.

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Data Availability

All data generated or analyzed during this study are included in this published article.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant 61961019, the Key Research and Development Program of Jiangxi Province of China under Grant 20181BBE50017, and the Youth Key Project of Natural Science Foundation of Jiangxi Province of China under Grant 20202ACBL212003.

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Authors and Affiliations

  1. School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang, 330013, China

    Qiang Lai, Yuan Liu & Zhijie Chen

Authors
  1. Qiang Lai
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  2. Yuan Liu
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  3. Zhijie Chen
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Contributions

All the authors contributed to the study and writing of the manuscript. Conceptualization, methodology, investigation, data collection and analysis were performed by Qiang Lai and Yuan Liu. Visualization and formal analysis were performed by Zhijie Chen.

Corresponding author

Correspondence to Qiang Lai.

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Lai, Q., Liu, Y. & Chen, Z. Multiscroll Chaos and Extreme Multistability of Memristive Chaotic System with Application to Image Encryption. J. Vib. Eng. Technol. 12, 3487–3505 (2024). https://doi.org/10.1007/s42417-023-01060-x

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