On the search for short chaotic logistic map sequences with good auto-correlation properties

2021 ◽  
Author(s):  
Gerardo Laguna-Sanchez ◽  
Daniela Aguirre-Guerrero ◽  
Ismael Robles-Martinez
Keyword(s):  
Logistic Map ◽  
Auto Correlation ◽  
Correlation Properties ◽  
Chaotic Logistic Map

Chaotic logistic map, parabola, and gravity

2019 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Logistic Map ◽  
Chaotic Logistic Map

I am trying to connect gravity with chaos via the parabola in the logistic map.

scholarly journals An Image Encryption Algorithm with Total Diffusion

2018 ◽  
Vol 11 (1) ◽  
pp. 15-25
Author(s):  
Jakub Oravec ◽  
Ján Turán ◽  
Ľuboš Ovseník
Keyword(s):  
Image Encryption ◽  
Logistic Map ◽  
Encryption Algorithm ◽  
Diffusion Stage ◽  
Suitable Combination ◽  
Image Pixels ◽  
Encrypted Images ◽  
Two Stages ◽  
Image Encryption Algorithm ◽  
Chaotic Logistic Map

Abstract This paper proposes an image encryption algorithm which uses four scans of an image during the diffusion stage in order to achieve total diffusion between intensities of image pixels. The condition of total diffusion is fulfilled by a suitable combination of techniques of ciphertext chaining and plaintext related diffusion. The proposed encryption algorithm uses two stages which utilize chaotic logistic map for generation of pseudo-random sequences. The paper also briefly analyzes approaches described by other researchers and evaluates experimental results of the proposed solution by means of commonly used measures. Properties of our proposal regarding modifications of plain images prior to encryption or modifications of encrypted images prior to decryption are illustrated by two additional experiments. The obtained numeric results are compared with those achieved by other proposals and briefly discussed.

CHAOTIC CONTROL OF LOGISTIC MAP

2008 ◽  
Vol 22 (20) ◽  
pp. 1941-1949 ◽  
Author(s):  
XINGYUAN WANG ◽  
MINGJUN WANG
Keyword(s):  
Periodic Orbit ◽  
Dynamic System ◽  
Bifurcation Point ◽  
Logistic Map ◽  
Bifurcation Control ◽  
Chaotic Control ◽  
Simulation Results ◽  
Feedback Method ◽  
Chaotic Logistic Map ◽  
Feedback Coefficient

With the occasional feedback method, the chaotic logistic map is stabilized at an unstable low-periodic orbit. In our method, the qualified feedback coefficient can be obtained through calculation instead of through simulation. Besides, the bifurcation control of the logistic map is studied, and a new scheme is proposed to change the parameter value of any one bifurcation point of this dynamic system optionally. Simulation results show the effectiveness of the methods.

A cryptosystem for lossless/lossy grayscale images in IWT domain using chaotic map-based generated key matrices

2018 ◽  
Vol 16 (04) ◽  
pp. 1850024 ◽  
Author(s):  
Kshiramani Naik ◽  
Arup Kumar Pal
Keyword(s):  
Chaotic Map ◽  
Logistic Map ◽  
Security Analysis ◽  
Image Data ◽  
Natural Images ◽  
Security Level ◽  
Original Image ◽  
Data Set ◽  
The Individual ◽  
Chaotic Logistic Map

In this paper, an image encryption scheme based on reversible integer wavelet transform (IWT) with chaotic logistic map is designed. The proposed cryptosystem is applicable to encipher both the medical and natural images in lossless and lossy manners, respectively. Initially, the original image is transformed with the multilevel of IWT, then the image data set is divided into low sub-band (approximation part) and high sub-bands (detail part). The approximation part gets confused with the chaotic logistic map followed by the bit plane decomposition. Next, the individual bit planes are further diffused with several binary key metrics, generated using a chaotic logistic map. The proposed key schedule derives several large size of binary key metrics from a small size of key. Based on the type of applications, the detail part is considered for lossless/lossy compression. The lossless/lossy compressed detail part is further considered only for confusion process using the logistic map for the sake of enhancing the security level. Finally, the cipher image obtained after inverse IWT is significantly dissimilar than original image. The scheme has been tested on several standard medical and natural images and the experimental results substantiate that a small size of key is enough to protect the content of images completely. The security analysis reveals that the proposed scheme is suitable for protecting the image data effectively.

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