Abstract In this research paper, we propose a novel one-dimensional chaotic system based on the fraction of cosine over sine (1-DFCS). Evaluation of 1-DFCS indicates the existence of a complex chaotic behavior, an infinite chaotic range, and a high initial state sensitivity. We further propose a new sensitive dynamic mutual image encryption scheme (SDME) using 1-DFCS. SDME is designed with a dynamic diffusion and confusion, which gives a unique encryption process for each image. To ensure the dynamicity, SDME is enriched with a new proposed plain image sensitivity function (PISF). PISF uses the 1-DFCS, plain image, and secret key, which makes it unpredictable and sensitive to a tiny change. PISF is recommended to many image encryption schemes to raise their ability toward the differential attacks. Besides, we propose a mutual part encryption technique. This technique refers to two parties encrypting each other, where a small change in one part reflects the other part. These three characteristics make our scheme able to achieve a high-security level in a single round, which provides a combination of security and time efficiency. The experiment results prove that SDME provides better performance when compared with several state-of-the-art image encryption systems.

中文翻译：

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基于新一维混沌映射的敏感动态互加密系统

摘要 在这篇研究论文中，我们提出了一种新的基于余弦对正弦分数的一维混沌系统 (1-DFCS)。1-DFCS 的评估表明存在复杂的混沌行为、无限的混沌范围和高初始状态敏感性。我们进一步提出了一种使用 1-DFCS 的新的敏感动态互图像加密方案（SDME）。SDME 设计有动态扩散和混淆，为每个图像提供独特的加密过程。为了确保动态性，SDME 增加了新提出的纯图像灵敏度函数 (PISF)。PISF 使用 1-DFCS、普通图像和密钥，这使得它不可预测且对微小变化敏感。PISF 被推荐用于许多图像加密方案，以提高其对差异攻击的能力。除了，我们提出了一种互部分加密技术。这种技术是指两方相互加密，其中一个部分的微小变化反映了另一部分。这三个特性使我们的方案能够在单轮中实现高安全级别，提供安全性和时间效率的结合。实验结果证明，与几种最先进的图像加密系统相比，SDME 提供了更好的性能。