Exponential sine chaotification model for enhancing chaos and its hardware implementation  

作　　者：Rui Wang Meng-Yang Li Hai-Jun Luo 王蕊;李孟洋;罗海军(College of Physics and Electronic Engineering,Chongqing Normal University,Chongqing 401331,China;National Center for Applied Mathematics in Chongqing,Chongqing 401331,China;The University of Chicago,Chicago 60637,United States of America)

机构地区：[1]College of Physics and Electronic Engineering,Chongqing Normal University,Chongqing 401331,China [2]National Center for Applied Mathematics in Chongqing,Chongqing 401331,China [3]The University of Chicago,Chicago 60637,United States of America

出　　处：《Chinese Physics B》2022年第8期337-346,共10页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 51507023);Chongqing Municipal Natural Science Foundation (Grant No. cstc2020jcyjmsxm X0726);the Science and Technology Research Program of Chongqing Municipal Education Commission (Grant No. KJZD-K202100506)。

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 multidimensional(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.

关 键 词：chaotic system nonlinear system image encryption hardware implementation 

分 类 号：O415.5[理学—理论物理]