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<p>Common three-dimensional chaotic systems are usually realized by adding some linear terms, absolute values, or piecewise functions to different dimensions based on traditional chaotic systems such as Lorenz chaos and Rossler chaos. However, studies on the impact of trigonometric functions on chaotic systems are not common. In this paper, by compounding trigonometric function terms with quadratic terms, an attempt is made to construct a new three-dimensional chaotic system. Through theoretical derivation and numerical simulation tests, a chaotic system is constructed. At the same time, this paper explores the influence of initial values and parameters on the system, including coexisting attractors, Lyapunov exponents, bifurcation diagrams, etc. In the encryption scheme, a unique pixel-sensitive transfer method is adopted. The key consists of the key string selected by the user and the image key generated based on the image information. The image key is generated using the pixel-sensitive transfer algorithm. Finally, the encryption algorithm is demonstrated and its performance is analyzed, including the display of encrypted images, histogram analysis, adjacent pixel correlation analysis, differential attack, information entropy and crop attack, etc. The results show that the algorithm has a strong encryption effect and anti-attack ability.</p>

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Design of a pixel-sensitive transfer encryption algorithm based on a novel three-dimensional sine-cosine chaotic system

  • 期刊论文

  • 发表日期：

    2025年10月9日

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  • Xiaoming Song,
  • Guodong Li,
  • Wenxia Xu,
  • Wenjie Li

摘要

Common three-dimensional chaotic systems are usually realized by adding some linear terms, absolute values, or piecewise functions to different dimensions based on traditional chaotic systems such as Lorenz chaos and Rossler chaos. However, studies on the impact of trigonometric functions on chaotic systems are not common. In this paper, by compounding trigonometric function terms with quadratic terms, an attempt is made to construct a new three-dimensional chaotic system. Through theoretical derivation and numerical simulation tests, a chaotic system is constructed. At the same time, this paper explores the influence of initial values and parameters on the system, including coexisting attractors, Lyapunov exponents, bifurcation diagrams, etc. In the encryption scheme, a unique pixel-sensitive transfer method is adopted. The key consists of the key string selected by the user and the image key generated based on the image information. The image key is generated using the pixel-sensitive transfer algorithm. Finally, the encryption algorithm is demonstrated and its performance is analyzed, including the display of encrypted images, histogram analysis, adjacent pixel correlation analysis, differential attack, information entropy and crop attack, etc. The results show that the algorithm has a strong encryption effect and anti-attack ability.