Abstract

Linear time-delay feedback method makes the stable system generate the infinite-dimensional hyper-chaos, which possesses more than one positive Lyapunov exponent, infinite-dimensional, a wider chaotic parameter range, and multi-attractors, including the single-scroll attractor, the double-scroll attractor, and the composite multi-scroll attractor. The infinite-dimensional hyper-chaotic multi-attractors Chen system generated by linear time-delay feedback (HCMACS) is used for image encryption. Firstly, the state time sequences of the infinite-dimensional HCMACS are preprocessed to achieve the ideal statistical property. Secondly, two random matrices generated by random number generators are used to expand the image size. Finally, the preprocessed chaotic sequences are used to confuse and diffuse the expanded digital image to obtain the encrypted image. The special feature of the proposed method is the theoretically infinite-dimensional secret key space. Results of analysis and computer simulation indicate that the encryption algorithm has good encryption performance, which can effectively resist various attacks.

中文翻译：

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基于超混沌多吸引子的图像加密

摘要

线性时滞反馈方法使稳定系统产生无限维超混沌，它具有一个以上的Lyapunov正指数，无限维，较宽的混沌参数范围以及包括单滚动吸引子在内的多种吸引子，双卷吸引器和复合多卷吸引器。由线性时延反馈（HCMACS）生成的无限维超混沌多吸引子Chen系统用于图像加密。首先，对无穷维HCMACS的状态时间序列进行预处理，以达到理想的统计特性。其次，使用由随机数生成器生成的两个随机矩阵来扩展图像大小。最后，预处理的混沌序列用于混淆和扩散扩展的数字图像以获得加密的图像。所提出的方法的特点是理论上无穷大的秘密空间。分析和计算机仿真结果表明，该加密算法具有良好的加密性能，可以有效抵抗各种攻击。