scholarly journals Spatial and temporal Taylor’s law in 1D chaotic maps

2021 ◽  
Vol 31 (3) ◽  
pp. 033111
Author(s):  
Hiroki Kojima ◽  
Yuzuru Mitsui ◽  
Takashi Ikegami
Keyword(s):  
Chaotic Maps ◽  
Taylor’S Law

Multi-level Security Based On Dynamic Magic Cube And Chaotic Maps

2017 ◽  
pp. 106
Author(s):  
Dhaher Abass Redha ◽  
Marwa Mohamed ali Mohsen
Keyword(s):  
Chaotic Maps ◽  
Multi Level ◽  
Magic Cube

scholarly journals A Novel S-Box Dynamic Design Based on Nonlinear-Transform of 1D Chaotic Maps

Electronics ◽  
2021 ◽  
Vol 10 (11) ◽  
pp. 1313
Author(s):  
Wenhao Yan ◽  
Qun Ding
Keyword(s):  
Chaotic Systems ◽  
Chaotic Maps ◽  
Chaotic Map ◽  
Logistic Map ◽  
Sample Entropy ◽  
One Dimension ◽  
Linear Combinations ◽  
Dynamic Design ◽  
Construction Methods ◽  
Low Dimensional

In this paper, a method to enhance the dynamic characteristics of one-dimension (1D) chaotic maps is first presented. Linear combinations and nonlinear transform based on existing chaotic systems (LNECS) are introduced. Then, a numerical chaotic map (LCLS), based on Logistic map and Sine map, is given. Through the analysis of a bifurcation diagram, Lyapunov exponent (LE), and Sample entropy (SE), we can see that CLS has overcome the shortcomings of a low-dimensional chaotic system and can be used in the field of cryptology. In addition, the construction of eight functions is designed to obtain an S-box. Finally, five security criteria of the S-box are shown, which indicate the S-box based on the proposed in this paper has strong encryption characteristics. The research of this paper is helpful for the development of cryptography study such as dynamic construction methods based on chaotic systems.

A protocol to encrypt digital images using chaotic maps and memory cellular automata

2015 ◽  
Vol 23 (3) ◽  
pp. 485-494 ◽  
Author(s):  
A. M. del Rey ◽  
G. R. Sanchez ◽  
A. de la Villa Cuenca
Keyword(s):  
Cellular Automata ◽  
Chaotic Maps ◽  
Digital Images

A time-delayed method for controlling chaotic maps

2005 ◽  
Vol 348 (1-2) ◽  
pp. 37-43 ◽  
Author(s):  
Maoyin Chen ◽  
Donghua Zhou ◽  
Yun Shang
Keyword(s):  
Chaotic Maps
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