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

作者机构：College of Physics and Electronic EngineeringChongqing Normal UniversityChongqing 401331China National Center for Applied Mathematics in ChongqingChongqing 401331China The University of ChicagoChicago 60637United States of America 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2022年第31卷第8期

页      面：337-346页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

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) 

主　　题：chaotic system nonlinear system image encryption hardware implementation 

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.