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

Junrong Guo, Xiaolin Liu and Ping Yan ()
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Junrong Guo: College of Mathematics and Computer Science, Zhejiang A&F University, Hangzhou 311300, China
Xiaolin Liu: College of Mathematics and Computer Science, Zhejiang A&F University, Hangzhou 311300, China
Ping Yan: College of Mathematics and Computer Science, Zhejiang A&F University, Hangzhou 311300, China

Mathematics, 2023, vol. 11, issue 23, 1-18

Abstract: 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.

Keywords: impulsive differential equation; chaos; image encryption; Poincaré cross section (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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