Affiliation:
1. School of Mathematics and Computer Science, Nanchang University, Nanchang 330031, China
2. Network Center, Nanchang University, Nanchang 330031, China
3. School of Software, Nanchang University, Nanchang 330031, China
Abstract
Chaotic systems are widely used in many scientific fields for their dynamic characteristics. This study proposes a new delayed coupling method, which not only disturbs the control coefficient in chaotic maps but also affects their function structure, such that using this improved method will produce chaotic maps with better effect. The numerical simulation results prove that the delayed coupling method can greatly improve the chaotic characteristics of chaotic maps. Furthermore, an image encryption algorithm based on the delayed coupling Logistic map is proposed. Several numerical simulations indicate that the image encryption algorithm has a high level of security, and can compete with other encryption algorithms.
Funder
National Natural Science Foundation of China
Outstanding Youth Foundation of Jiangxi Province
Finance Science and Technology Special “Contract System” Project of Jiangxi Province
Science and Technology Innovation Platform Project of Jiangxi Province
Jiangxi Province Natural Science Foundation of China
Practice Innovation Training Program of Jiangxi Province for College Students
Science and Technology Research Support Project of Jiangxi Provincial Education Department
Jiangxi Province Educational Reform Key Project
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)