Dynamic Analysis of Impulsive Differential Chaotic System and Its Application in Image Encryption

被引：3

作者：

Guo, Junrong ^{[1
]}

Liu, Xiaolin ^{[1
]}

Yan, Ping ^{[1
,2
]}

机构：

[1] Zhejiang A&F Univ, Coll Math & Comp Sci, Hangzhou 311300, Peoples R China

[2] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland

来源：

MATHEMATICS | 2023年 / 11卷 / 23期

基金：

中国国家自然科学基金;

关键词：

impulsive differential equation; chaos; image encryption; Poincare cross section; MAP;

D O I：

10.3390/math11234835

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the dynamic behavior of an impulse differential chaotic system which can be applied to image encryption. Combined with the chaotic characteristics of the high dimensional impulsive differential equations, the plaintext image can be encrypted by using the traditional Henon map and diffusion sequences encryption algorithm. The initial values and control parameters serve as keys for encryption algorithms, and the algorithm has a larger key space. The key is resistant to minor interference and the accuracy can reach 10-12. The simulation results show that the impulsive differential chaotic system has a good application prospect in image encryption.

引用

页数：18

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