A third order piecewise linear chaotic system and its application in image encryption
LIU Song1,2， ZHANG Jianqiang2， QIU Da1， LIU Jingyi1， ZHANG Guoping2
(1.School of Advanced Materials and Mechatronic Engineering， Hubei University for Nationalities， Enshi 445000，Hubei，China；2.College of Physical Science and Technology， Central China Normal University， Wuhan 430079，China)
Abstract：In this paper， a third order piecewise linear chaotic system based on Shilnikov theorem is proposed， and a heteroclinic loop of this system is constructed between its two equilibrium points. The existence conditions of the heteroclinic loop are proved， the mechanism underlying the formation of the chaotic attractor is analyzed， and the validity and feasibility of the system is verified. Then based on the proposed chaotic system，the chaotic data sequence is generated， and the scrambling matrix and random diffusion matrix are constructed to encrypt the image. Security analyses including key sensitivity analysis， correlation analysis of adjacent pixels， information entropy analysis and anti-noise analysis are performed in matlab. The experimental results demonstrate that the proposed image encryption scheme can resist various attacks and shows better effectiveness.
刘 嵩,张建强,邱 达,刘静漪,张国平. 一种三阶分段线性混沌系统及其在图像加密中的应用[J]. 华中师范大学学报(自然科学版), 2023, 57(2): 213-222.
LIU Song,ZHANG Jianqiang,QIU Da,LIU Jingyi,ZHANG Guoping. A third order piecewise linear chaotic system and its application in image encryption. journal1, 2023, 57(2): 213-222.
2023, Vol. 57 
