A new image encryption scheme based on a simple first-order time-delay system with appropriate nonlinearity

2015 ◽  
Vol 82 (1-2) ◽  
pp. 107-117 ◽  
Author(s):  
Olfa Mannai ◽  
Rabei Bechikh ◽  
Houcemeddine Hermassi ◽  
Rhouma Rhouma ◽  
Safya Belghith
Keyword(s):  
Time Delay ◽  
Image Encryption ◽  
Delay System ◽  
Encryption Scheme ◽  
Time Delay System ◽  
First Order

Dynamic behavior of fractional-order memristive time-delay system and image encryption application

2021 ◽  
pp. 2150271
Author(s):  
Zongli Yang ◽  
Dong Liang ◽  
Dawei Ding ◽  
Yongbing Hu
Keyword(s):  
Time Delay ◽  
Dynamic Behavior ◽  
Image Encryption ◽  
Fractional Order ◽  
Delay System ◽  
Encryption Scheme ◽  
Time Delay System ◽  
Chaotic State ◽  
Periodic State ◽  
The Stability

This paper presents dynamic behavior of a fractional-order memristive time-delay system and its application in image encryption. First, a fractional-order memristive time-delay system is proposed, and the stability and bifurcation behaviors of the system are theoretically analyzed. Some limited conditions for describing the stability interval and switching between different dynamic behaviors are derived. Second, the dynamic characteristics of the system are analyzed through the coexisting attractors, coexisting bifurcation diagrams, the Largest Lyapunov exponents (LLE), the 0-1 test. When parameters change, such as time delay and fractional order, the system transits from steady state to periodic state, single scroll chaotic state, double scroll chaotic state. Furthermore, an image encryption scheme based on the fractional-order memristive time-delay system is introduced, and some statistical features are analyzed. Finally, numerical simulations verify the validity of the theoretical analysis and safety of the image encryption scheme based on the fractional-order delayed memristive chaotic system.

Cryptanalysis and Improvement of a Chaotic Image Encryption by First-Order Time-Delay System

2018 ◽  
Vol 25 (3) ◽  
pp. 92-101 ◽  
Author(s):  
Ming Li ◽  
Haiju Fan ◽  
Yong Xiang ◽  
Yang Li ◽  
Yushu Zhang
Keyword(s):  
Time Delay ◽  
Image Encryption ◽  
Delay System ◽  
Time Delay System ◽  
First Order ◽  
Chaotic Image Encryption

First Order Controller for Time Delay System

2011 ◽  
Vol 133 (5) ◽  
Author(s):  
Kaouther Laabidi ◽  
Rihem Farkh ◽  
Mekki Ksouri
Keyword(s):  
Time Delay ◽  
Stability Region ◽  
Delay System ◽  
Delay Systems ◽  
Time Delay System ◽  
First Order

In this paper, we consider the control of time delay system by first order controller. By Using the Hermite-Biehler theorem, which is applicable to quasipolynomials, we seek a stability region of the controller for first order delay systems.

Sign in / Sign up

Export Citation Format

Share Document