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A novel chaotic system with hidden attractor and its application in color image encryption

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Abstract

In this paper, a novel fractional-order no-equilibrium chaotic system with hidden attractor is presented. The dynamical characteristics of the fractional-order system are analyzed by the phase diagram, Lyapunov exponents, bifurcation diagram, complexity, and attractor basin. Based on the above analysis, an image encryption scheme performs discrete cosine transform on the R, G, and B channels of the original color image to get the corresponding sparse coefficient matrices. Then, the measurement matrix generated by the Hadamard matrix and the chaotic pseudo-random sequence is used to compress and perceive the sparse coefficient matrices. In addition, the row and column scrambling and GF (257) domain diffusion algorithm are performed on the compressed pixel matrix to obtain the final cipher image. Experimental results and performance analysis display that the scheme has high compressibility and security. Even if the compression rate is 0.25, the calculated PSNR values are around 30. In addition, the χ2-value of the encrypted Lena image is 248.2824, and the algorithm has passed the UACI and NPCR tests and can resist differential attacks. Therefore, the proposed algorithm is effectively.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 62061014); The Natural Science Foundation of Liaoning province(2020-MS-274); The Basic Scientific Research Projects of Colleges and Universities of Liaoning Province (Grant Nos. LJKZ0545).

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Authors and Affiliations

  1. School of Information Science and Engineering, Dalian Polytechnic University, Dalian, 116000, China

    Haiying Hu, Yinghong Cao, Jin Hao, Xuejun Li & Jun Mou

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  1. Haiying Hu
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  4. Xuejun Li
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  5. Jun Mou
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Contributions

Haiying Hu designed and carried out experiments, data analyzed and manuscript wrote. Yinghong Cao and Jun Mou made the theoretical guidance for this paper. Jin Hao carried out experiment on the DSP platform. Xuejun Li improved the algorithm. All authors reviewed the manuscript.

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Correspondence to Yinghong Cao or Jun Mou.

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Hu, H., Cao, Y., Hao, J. et al. A novel chaotic system with hidden attractor and its application in color image encryption. Multimed Tools Appl 82, 4343–4369 (2023). https://doi.org/10.1007/s11042-022-13414-w

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