混乱的
计算机科学
正弦
混沌(操作系统)
加密
指数函数
非线性系统
李雅普诺夫指数
算法
密码学
理论计算机科学
计算机工程
数学
人工智能
物理
数学分析
几何学
计算机安全
量子力学
操作系统
作者
Rui Wang,Meng Yang Li,Haijun Luo
出处
期刊:Chinese Physics B
[IOP Publishing]
日期:2022-08-01
卷期号:31 (8): 080508-080508
被引量:6
标识
DOI:10.1088/1674-1056/ac6335
摘要
Chaotic systems have been intensively studied for their roles in many applications, such as cryptography, secure communications, nonlinear controls, etc. However, the limited complexity of existing chaotic systems weakens chaos-based practical applications. Designing chaotic maps with high complexity is attractive. This paper proposes the exponential sine chaotification model (ESCM), a method of using the exponential sine function as a nonlinear transform model, to enhance the complexity of chaotic maps. To verify the performance of the ESCM, we firstly demonstrated it through theoretical analysis. Then, to exhibit the high efficiency and usability of ESCM, we applied ESCM to one-dimensional (1D) and multi-dimensional (MD) chaotic systems. The effects were examined by the Lyapunov exponent and it was found that enhanced chaotic maps have much more complicated dynamic behaviors compared to their originals. To validate the simplicity of ESCM in hardware implementation, we simulated three enhanced chaotic maps using a digital signal processor (DSP). To explore the ESCM in practical application, we applied ESCM to image encryption. The results verified that the ESCM can make previous chaos maps competitive for usage in image encryption.
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