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Characteristic analysis of new four-dimensional autonomous power system and its application in color image encryption

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Abstract

A new four-dimensional autonomous dynamic system is proposed and the dynamic characteristics are analyzed. First calculate the equilibrium point and dissipation of the system, and then discuss the non-dynamic behavior of the system through the bifurcation graph, Lyapunov exponential spectrum, and spectral entropy (SE) complexity. The experiment found that the existence of a large range of parameter values keeps the system in a hyper-chaotic state. Therefore, we propose a color image encryption algorithm based on a four-dimensional hyperchaotic system and multiple S-boxes. First, the color image is scrambled globally, then three sets of S-boxes are constructed and replaced, and finally chaotic sequences are used to further diffuse the image. Through the experimental analysis, this algorithm has a good encryption effect on the image.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (No: 61672124), the Password Theory Project of the 13th Five-Year Plan National Cryptography Development Fund (No: MMJJ20170203), Liaoning Province Science and Technology Innovation Leading Talents Program Project (No: XLYC1802013), Key R&D Projects of Liaoning Province (No: 2019020105-JH2/103), Jinan City ‘20 universities’ Funding Projects Introducing Innovation Team Program (No: 2019GXRC031).

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

    Yining Su & Xingyuan Wang

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  1. Yining Su
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Correspondence to Xingyuan Wang.

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Communicated by Y. Zhang.

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Su, Y., Wang, X. Characteristic analysis of new four-dimensional autonomous power system and its application in color image encryption. Multimedia Systems 28, 553–571 (2022). https://doi.org/10.1007/s00530-021-00861-y

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