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首页> 外文期刊>Multimedia Tools and Applications >A new perturbation-feedback hybrid control method for reducing the dynamic degradation of digital chaotic systems and its application in image encryption
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A new perturbation-feedback hybrid control method for reducing the dynamic degradation of digital chaotic systems and its application in image encryption

机译：一种新的扰动 - 反馈混合控制方法，用于降低数字混沌系统动态劣化及其在图像加密中的应用

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In a finite precision computing environment, the trajectories of all chaotic sequences enter a cycle leading to degradation of their dynamics. In this paper a new perturbation feedback hybrid control method to reduce the influence of finite precision. A traditional logistic map is introduced as a pseudo-random sequence generator for time-varying perturbation to perturb the coefficients of chaotic map and make them iteratively changed in the chaotic region. The nonlinear feedback mechanism has high complexity. Numerical analysis results show that the perturbation-feedback hybrid control method can effectively attenuate the dynamic degradation of digital chaotic systems. Further, we propose a simple encryption algorithm based on the perturbation-feedback hybrid control method and apply it to image encryption. The NPCR and UACI of our encryption method are 0.99609 and 0.33464, respectively and the information entropy is as high as 7.9976. All the numerical experiments results prove that the proposed algorithm is highly secure, resistant to multiple attacks, and is more competitive than other encryption algorithms.
机译：在有限的精确计算环境中，所有混沌序列的轨迹进入一个循环，导致其动态降低。本文采用了一种新的扰动反馈混合控制方法，以减少有限精度的影响。传统的逻辑图被引入作为伪随机序列发生器，用于使混沌映射系数的时变扰动，使它们在混沌区域中迭代地改变。非线性反馈机制具有很高的复杂性。数值分析结果表明，扰动反馈混合控制方法可以有效地衰减数字混沌系统的动态劣化。此外，我们提出了一种基于扰动反馈混合控制方法的简单加密算法，并将其应用于图像加密。我们的加密方法的NPCR和UACI分别为0.99609和0.33464，信息熵高达7.9976。所有数值实验结果证明，该算法具有高度安全，耐多种攻击，并且比其他加密算法更具竞争力。

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