Comparisons of Typical Discrete Logistic Map and Henon Map

2014 ◽  
pp. 267-275 ◽  
Author(s):  
Bingbing Song ◽  
Qun Ding
Keyword(s):  
Logistic Map ◽  
Hénon Map ◽  
Henon Map

One Method to Construct the S-Box Based on Improved Chaos Map

2014 ◽  
Vol 651-653 ◽  
pp. 2164-2167
Author(s):  
Hang Zhang ◽  
Xiao Jun Tong
Keyword(s):  
Imaginary Part ◽  
Logistic Map ◽  
Block Ciphers ◽  
Mandelbrot Set ◽  
New Method ◽  
Hénon Map ◽  
Henon Map ◽  
The Real

Many methods of constructing S-box often adopt the classical chaotic equations. Yet study found that some of the chaotic equations exists drawbacks. Based on that, this paper proposed a new method to generate S-Box by improving the Logistic map and Henon map, and combining the real and imaginary part of complex produced by the Mandelbrot set. By comparing with several other S-boxes proposed previously, the results show the S-box here has better cryptographic properties. So it has a good application prospect in block ciphers.

scholarly journals Hybrid Approach to Steganography System Based on Quantum Encryption and Chaos Algorithms

2018 ◽  
Vol 26 (2) ◽  
pp. 280-294
Author(s):  
ZAID A. ABOD
Keyword(s):  
Quantum Cryptography ◽  
Hybrid System ◽  
Secure Communication ◽  
Logistic Map ◽  
Hybrid Approach ◽  
Cover Image ◽  
Hénon Map ◽  
Henon Map ◽  
Quantum Encryption

This paper proposes a hybrid system for secretly embedding images into the dithered multilevelimage. Confident hybridizations between steganography and quantum encryptions are either rare inliterature or suffer a poor effectiveness in secure communication. This paper scrambles and divides thesecret image into groups to be embedded in the blocks of the cover image using three chaos algorithms.These are Lorenz map, Henon map, and Logistic map algorithms. The encryption of embedded imagesconducted using the quantum one-time pad. Results showed that the proposed hybrid system succeeded inembedding and combining images with quantum cryptography algorithms.

scholarly journals Time series classification based on triadic time series motifs

2019 ◽  
Vol 33 (21) ◽  
pp. 1950237
Author(s):  
Wen-Jie Xie ◽  
Rui-Qi Han ◽  
Wei-Xing Zhou
Keyword(s):  
Time Series ◽  
Logistic Map ◽  
Time Series Classification ◽  
Similarity Coefficients ◽  
Motif Analysis ◽  
Hénon Map ◽  
Henon Map ◽  
Motif Occurrence ◽  
Generalized Hénon Map ◽  
Dynamic Time

It is of great significance to identify the characteristics of time series to quantify their similarity and classify different classes of time series. We define six types of triadic time-series motifs and investigate the motif occurrence profiles extracted from the time series. Based on triadic time series motif profiles, we further propose to estimate the similarity coefficients between different time series and classify these time series with high accuracy. We validate the method with time series generated from nonlinear dynamic systems (logistic map, chaotic logistic map, chaotic Henon map, chaotic Ikeda map, hyperchaotic generalized Henon map and hyperchaotic folded-tower map) and retrieved from the UCR Time Series Classification Archive. Our analysis shows that the proposed triadic time series motif analysis performs better than the classic dynamic time wrapping method in classifying time series for certain datasets investigated in this work.

Double color image encryption based on fractional order discrete improved Henon map and Rubik’s cube transform

2021 ◽  
pp. 116363
Author(s):  
Liping Chen ◽  
Yin Hao ◽  
Liguo Yuan ◽  
J.A. Tenreiro Machado ◽  
Ranchao Wu ◽  
...  
Keyword(s):  
Image Encryption ◽  
Fractional Order ◽  
Color Image ◽  
Hénon Map ◽  
Color Image Encryption ◽  
Henon Map ◽  
Rubik's Cube ◽  
Rubik’S Cube

scholarly journals A transcendental Hénon map with an oscillating wandering Short $${\mathbb {C}}^2$$

2021 ◽  
Author(s):  
Leandro Arosio ◽  
Luka Boc Thaler ◽  
Han Peters
Keyword(s):  
Hénon Map ◽  
Henon Map

Autoregressive self-tuning feedback control of the Hénon map

1996 ◽  
Vol 54 (6) ◽  
pp. 6201-6206 ◽  
Author(s):  
Michael E. Brandt ◽  
Ahmet Ademoǧlu ◽  
Dejian Lai ◽  
Guanrong Chen
Keyword(s):  
Feedback Control ◽  
Hénon Map ◽  
Henon Map ◽  
Self Tuning

scholarly journals Detecting and stabilizing periodic orbits of chaotic Henon map through predictive control

2018 ◽  
Vol 27 (2018) ◽  
pp. 73-78
Author(s):  
Dumitru Deleanu
Keyword(s):  
Periodic Orbits ◽  
Predictive Control ◽  
Nonnegative Integer ◽  
Strange Attractor ◽  
Discrete System ◽  
Control Method ◽  
Nonlinear Mapping ◽  
Unstable Periodic Orbits ◽  
Hénon Map ◽  
Henon Map

The predictive control method is one of the proposed techniques based on the location and stabilization of the unstable periodic orbits (UPOs) embedded in the strange attractor of a nonlinear mapping. It assumes the addition of a small control term to the uncontrolled state of the discrete system. This term depends on the predictive state ps + 1 and p(s + 1) + 1 iterations forward, where s is the length of the UPO, and p is a large enough nonnegative integer. In this paper, extensive numerical simulations on the Henon map are carried out to confirm the ability of the predictive control to detect and stabilize all the UPOs up to a maximum length of the period. The role played by each involved parameter is investigated and additional results to those reported in the literature are presented.

scholarly journals Key Generation based on Henon map and Lorenz system

2020 ◽  
Vol 31 (1) ◽  
pp. 41
Author(s):  
Ansam Sabah Bader ◽  
Shaymaa Hameed ◽  
Maisa’a Abid Ali K.
Keyword(s):  
Lorenz System ◽  
New Method ◽  
Key Generation ◽  
Hénon Map ◽  
Henon Map ◽  
Data Authentication ◽  
Secure Information ◽  
Data Store ◽  
Significant Process ◽  
Encryption Algorithms

Securing information has been the most significant process for communication and data store. Orderly to secure information such as data authentication,  data integrity, and confidentiality must be verified based on algorithms of cryptography. Where, the most important part of any encryption algorithms is the key which specifies if the system is strong enough or not. The proposal of this paper is a new method to generate keys based on two kinds of chaos theory in order to improve the security of cryptographic algorithms. The base of this proposal is to investigate a new method for generating random numbers by using the 3D Lorenz system and 2D Henon map. The newly generated keys have successfully passed the National Institute of Standards and Technology (NIST) statistical test suite

Sign in / Sign up

Export Citation Format

Share Document