Dynamic analysis of fractional-order memristive chaotic system with time delay and its application in color image encryption based on DNA encoding

2021 ◽  
Author(s):  
Zongli Yang ◽  
Dong Liang ◽  
Dawei Ding ◽  
Yongbin Hu
Keyword(s):  
Time Delay ◽  
Dynamic Analysis ◽  
Image Encryption ◽  
Fractional Order ◽  
Chaotic System ◽  
Color Image ◽  
Dna Encoding ◽  
Color Image Encryption ◽  
System With Time Delay

scholarly journals Anticontrol of a Fractional-Order Chaotic System and Its Application in Color Image Encryption

2020 ◽  
Vol 2020 ◽  
pp. 1-12 ◽  
Author(s):  
Yujun Niu ◽  
Xuming Sun ◽  
Cheng Zhang ◽  
Hongjun Liu
Keyword(s):  
Image Encryption ◽  
Fractional Order ◽  
Chaotic System ◽  
Dynamic Systems ◽  
Color Image ◽  
Necessary Condition ◽  
Bifurcation Diagrams ◽  
Color Image Encryption ◽  
Hyperchaotic Systems ◽  
Image Encryption Algorithm

This paper investigates the anticontrol of the fractional-order chaotic system. The necessary condition of the anticontrol of the fractional-order chaotic system is proposed, and based on this necessary condition, a 3D fractional-order chaotic system is driven to two new 4D fractional-order hyperchaotic systems, respectively, without changing the parameters and fractional order. Hyperchaotic properties of these new fractional dynamic systems are confirmed by Lyapunov exponents and bifurcation diagrams. Furthermore, a color image encryption algorithm is designed based on these fractional hyperchaotic systems. The effectiveness of their application in image encryption is verified.

scholarly journals Complex dynamical behaviors of a novel exponential hyper–chaotic system and its application in fast synchronization and color image encryption

2021 ◽  
Vol 104 (1) ◽  
pp. 003685042110033
Author(s):  
Javad Mostafaee ◽  
Saleh Mobayen ◽  
Behrouz Vaseghi ◽  
Mohammad Vahedi ◽  
Afef Fekih
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
Sliding Mode ◽  
Color Image ◽  
Equilibrium Points ◽  
Lyapunov Stability Theory ◽  
System Stability ◽  
Color Image Encryption ◽  
Terminal Sliding Mode ◽  
Finite Time Stability

This paper proposes a novel exponential hyper–chaotic system with complex dynamic behaviors. It also analyzes the chaotic attractor, bifurcation diagram, equilibrium points, Poincare map, Kaplan–Yorke dimension, and Lyapunov exponent behaviors. A fast terminal sliding mode control scheme is then designed to ensure the fast synchronization and stability of the new exponential hyper–chaotic system. Stability analysis was performed using the Lyapunov stability theory. One of the main features of the proposed controller is the finite time stability of the terminal sliding surface designed with high–order power function of error and derivative of error. The approach was implemented for image cryptosystem. Color image encryption was carried out to confirm the performance of the new hyper–chaotic system. For image encryption, the DNA encryption-based RGB algorithm was used. Performance assessment of the proposed approach confirmed the ability of the proposed hyper–chaotic system to increase the security of image encryption.

Color image encryption based on hybrid hyper-chaotic system and cellular automata

2017 ◽  
Vol 90 ◽  
pp. 225-237 ◽  
Author(s):  
Abolfazl Yaghouti Niyat ◽  
Mohammad Hossein Moattar ◽  
Masood Niazi Torshiz
Keyword(s):  
Cellular Automata ◽  
Image Encryption ◽  
Chaotic System ◽  
Color Image ◽  
Color Image Encryption
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