物理学报Issue(2)：1-14,14.DOI:10.7498/aps.64.020501
一种改进的高性能Lorenz系统构造及其应用∗
An improved high p erformance Lorenz system and its application
摘要
Abstract
Lorenz system is one of the most typical chaotic system models, and it has been well studied and widely applied. In order to obtain more complex structure and dynamic behavior of chaotic attractor for Lorenz system, improving the Lorenz system has become one of the important tasks in chaotic dynamical system. Therefore, an improved Lorenz system with complex dynamic behavior is proposed and used to protect image information security. Based on the existing various improvement Lorenz systems, firstly, a new Lorenz chaotic system is constructed by increasing the control parameters and modifying nonlinear expression in the existing Lorenz chaotic system; secondly, the mathematical properties of dissipation, symmetry, and stability in the proposed Lorenz system, which are similar to those in the existing Lorenz system, Bao system, Tee system and Y system, are investigated by modern differential dynamical system, and the experimental results of Lyapunov index and random sequence correlation of five different Lorenz systems show that the proposed Lorenz system has a more complex structure and chaotic dynamic behavior;finally, the discrete pseudo random sequences generated by five different Lorenz chaotic systems are used for scrambling the pixel position and diffusing the pixel value to protect image information security. The analyses of correlation and statistic histogram entropy of adjacent pixels, anti-differential attack and key sensitivity of the encrypted image, indicate that the improved Lorenz system proposed in this paper has much better potential advantages than other existing improved Lorenz system in image encryption application.关键词
Lorenz系统/Lyapunov指数/图像加密/相关性分析Key words
Lorenz system/Lyapunov index/image encryption/correlation analysis引用本文复制引用
官国荣,吴成茂,贾倩..一种改进的高性能Lorenz系统构造及其应用∗[J].物理学报,2015,(2):1-14,14.基金项目
国家自然科学基金重点项目(批准号:61136002)、陕西省自然科学基金(批准号:2014JM8331,2014JQ5183,2014JM8307)和陕西省教育厅自然科学专项基金(批准号:2013JK1129)资助的课题.@@@@* Project supported by the National Natural Science Foundation of China (Grant No.61136002), the Natural Science Foundation of Shaanxi Province, China (Grant Nos.2014JM8331,2014JQ5183,2014JM8307), and the Scientific Research Project of the Education Department of Shaanxi Province, China (Grant No.2013JK1129) （批准号:61136002）
