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Construction of controlled multi-scroll conservative chaotic system and its application in color image encryption

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Abstract

In view of the fact that dissipative chaotic systems contain attractors in phase space and are easy to reconstruct, resulting in security flaws in encryption. We propose to design a conservative chaotic system with controlled chaotic scrolls, and in phase space, there is no attractor, and the direction and the number of chaotic scrolls can be controlled. The ergodic space in phase space becomes richer as the number of scrolls increases, com,plicating the chaotic behavior. Based on this conservative chaotic system, we present a novel color image encryption algorithm. To make the mixing of each plane of the color image more sufficient, we invented a plane element rearrangement and a dynamic selection row–column cross scrambling method in this algorithm. A cross-plane diffusion method was also created to make each plane part of the image form a whole, and each plane element will change as a result of the modification of one element. According to experimental and analysis results, the color image encryption technique offers strong security and real-time communication.

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The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

This work was supported by the following projects and foundations: the National Natural Science Foundation of China (No. 61902091) and the projet ZR2019MF054 was supported by the Shandong Provincial Natural Science Foundation.

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Authors and Affiliations

  1. School of Computer Science and Technology, Harbin Institute of Technology, Weihai, 264209, China

    Xilin Liu, Xiaojun Tong & Miao Zhang

  2. School of Information Science and Engineering, Harbin Institute of Technology, Weihai, 264209, China

    Zhu Wang

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  1. Xilin Liu
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  2. Xiaojun Tong
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  4. Miao Zhang
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Correspondence to Xiaojun Tong.

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Liu, X., Tong, X., Wang, Z. et al. Construction of controlled multi-scroll conservative chaotic system and its application in color image encryption. Nonlinear Dyn 110, 1897–1934 (2022). https://doi.org/10.1007/s11071-022-07702-1

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