scholarly journals Novel Method of Secure Communication using Logistic Map

2019 ◽  
Vol 8 (2S7) ◽  
pp. 603-605
Keyword(s):  
Chaotic System ◽  
Secure Communication ◽  
Control Parameter ◽  
Initial Conditions ◽  
Daily Life ◽  
Logistic Map ◽  
New Concepts ◽  
Chaotic Cryptography ◽  
Significant Research ◽  
Novel Method

Significant research efforts have been invested in recent years to export new concepts for secure cryptographic methods. Many mathematicians are attracted by Chaos functions as it has sensitive nature toward its initial conditions and their colossal suitability to problems in daily life. Inspired by new researches, a new chaotic cryptography algorithm is proposed in this paper. The key feature of this approach is that instantaneous key is generated at host independently that is used to determine the type of operations on each pixel. The information available in images is 24 bit RGB these value are modified mathematically using eight reversible operations. Also during encryption, the control parameter of the chaotic system is updated timely.

A NEW CHAOTIC CRYPTOGRAPHY BASED ON ERGODICITY

2008 ◽  
Vol 22 (07) ◽  
pp. 901-908 ◽  
Author(s):  
XINGYUAN WANG ◽  
CHAOFENG DUAN ◽  
NINI GU
Keyword(s):  
Chaotic System ◽  
Control Parameter ◽  
Chaotic Map ◽  
Logistic Map ◽  
Initial Condition ◽  
Secret Key ◽  
Chaotic Cryptography ◽  
And Diffusion ◽  
Confusion And Diffusion ◽  
Number Of Iterations

This paper analyzes the encryption and weaknesses of E. Álvarez cryptography. On the basis of this, a new chaotic cryptography based on ergodicity is presented. The control parameter and the initial condition of the chaotic system are chosen as a secret key. A bit chain is generated by iterating the chaotic map, and the location where a plaintext grouping appears in the chain is found. We then write down the number of iterations of the chaotic map as the ciphertext grouping. Several weaknesses of the E. Álvarez cryptography are avoided in the new scheme, and the security of the new scheme is improved. In the end, the new cryptography is studied experimentally using the Logistic map, where the new cryptography's confusion and diffusion is validated, and its effectiveness is also illuminated.

scholarly journals A Robust Watermarking Scheme for Online Multimedia Copyright Protection Using New Chaotic Map

2018 ◽  
Vol 2018 ◽  
pp. 1-20 ◽  
Author(s):  
Amir Anees ◽  
Iqtadar Hussain ◽  
Abdulmohsen Algarni ◽  
Muhammad Aslam
Keyword(s):  
Digital Media ◽  
Secure Communication ◽  
Initial Conditions ◽  
Chaotic Map ◽  
Logistic Map ◽  
Digital Data ◽  
Robust Watermarking ◽  
Unified Framework ◽  
Watermarking Scheme ◽  
Randomness Tests

The protection of copyrights of digital media uploaded to the Internet is a growing problem. In this paper, first, we present a unified framework for embedding and detecting watermark in digital data. Second, a new robust watermarking scheme is proposed considering this concern. The proposed work incorporates three chaotic maps which specify the location for embedding the watermark. Third, a new chaotic map, the Extended Logistic map, is proposed in this work. The proposed map has a bigger range than logistic and cubic maps. It has shown good results in a bifurcation, sensitivity to initial conditions, and randomness tests. Furthermore, with the detailed analysis of initial parameters, it is justified that Extended Logistic map can be used in secure communication, particularly watermarking. Fourth, to check the robustness of proposed watermarking scheme, we have done a series of analyses and standard attacks. The results confirm that the proposed watermarking scheme is robust against visual and statistical analysis and can resist the standard attacks.

Video Encryption Based on Chaotic System and Stream Cipher

2018 ◽  
Vol 1 (2) ◽  
pp. 33-40
Author(s):  
Laith Abdulhussien Hamood ◽  
Mahmood Khalel Ibrahem
Keyword(s):  
Chaotic System ◽  
Stream Cipher ◽  
Initial Conditions ◽  
Chaotic Map ◽  
Digital Data ◽  
Video Encryption ◽  
Digital Multimedia ◽  
Chaotic Cryptography ◽  
Encryption Method ◽  
Multimedia Encryption

the huge development and use of digital multimedia (video, image) over computer networks has led to increase the need for securing of these digital data. Video encryption is widely used as a method for providing security for digital video. In this paper video encryption method is developed using chaotic system for key generator and stream cipher, it uses chaotic map as one-time key generator which produce key used for encryption process. Chaotic systems have been successfully used for multimedia encryption. Chaotic cryptography have good characteristic such as pseudo-randomness, and sensitivity to initial conditions. Video encryption method have successfully designed and implemented, the tests and analysis results have showed the succeed of the encryption method in term of speed and security.

scholarly journals Fractional-order chaotic system with hyperbolic function

2019 ◽  
Vol 11 (8) ◽  
pp. 168781401987258
Author(s):  
G Gugapriya ◽  
Prakash Duraisamy ◽  
Anitha Karthikeyan ◽  
B Lakshmi
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Secure Communication ◽  
Sliding Mode ◽  
Initial Conditions ◽  
Dynamical Behavior ◽  
Adomian Decomposition Method ◽  
Adaptive Synchronization ◽  
Hyperbolic Function ◽  
Adomian Decomposition

In this article, we study bistability, multiscroll, and symmetric properties of fractional-order chaotic system with cubic nonlinearity. The system is configured with hyperbolic function consisting of a parameter “ g.” By varying the parameter “ g,” the dynamical behavior of the system is investigated. Multistability and multiscroll are identified, which makes the system suitable for secure communication applications. When the system is treated as fractional order, for the same parameter values and initial conditions and when the fractional order is varied from 0.96 to 0.99, multiscroll property is obtained. Symmetric property is obtained for the order of 0.99. The fractional system holds only single scroll until 0.965 order and when the order increases to more than 0.99, it is having two-scroll attractor. This property opens a variety of applications for the systems, especially in secure communication. Adaptive synchronization of the system using sliding mode control scheme is presented. For implementing the fractional-order system in field-programmable gate array, Adomian decomposition method is used, and the register-transfer level schematic of the system is presented.

scholarly journals PERIODICITY OF CHAOTIC TRAJECTORIES IN REALIZATIONS OF FINITE COMPUTER PRECISIONS AND ITS IMPLICATION IN CHAOS COMMUNICATIONS

2004 ◽  
Vol 18 (17n19) ◽  
pp. 2617-2622 ◽  
Author(s):  
SHIHONG WANG ◽  
WEIRONG LIU ◽  
HUAPING LU ◽  
JINYU KUANG ◽  
GANG HU
Keyword(s):  
Transient Process ◽  
Power Law ◽  
Secure Communication ◽  
Initial Conditions ◽  
Periodic Trajectory ◽  
Coupled Systems ◽  
Major Portion ◽  
Empirical Power ◽  
Computer Realization ◽  
Chaotic Cryptography

Fundamental problems of periodicity and transient process to periodicity of chaotic trajectories in computer realization with finite computation precision is investigated by taking single and coupled Logistic maps as examples. Empirical power law relations of the period and transient iterations with the computation precisions and the sizes of coupled systems are obtained. For each computation we always find, by randomly choosing initial conditions, a single dominant periodic trajectory which is realized with major portion of probability. These understandings are useful for possible applications of chaos, e.g., chaotic cryptography in secure communication.

scholarly journals An Experimental Realization of a Chaos-Based Secure Communication Using Arduino Microcontrollers

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Mauricio Zapateiro De la Hoz ◽  
Leonardo Acho ◽  
Yolanda Vidal
Keyword(s):  
Simple Model ◽  
Communication System ◽  
Secure Communication ◽  
Initial Conditions ◽  
Logistic Map ◽  
Communication Channels ◽  
Receiver Side ◽  
Experimental Realization ◽  
Chaotic Signals ◽  
Message Signal

Security and secrecy are some of the important concerns in the communications world. In the last years, several encryption techniques have been proposed in order to improve the secrecy of the information transmitted. Chaos-based encryption techniques are being widely studied as part of the problem because of the highly unpredictable and random-look nature of the chaotic signals. In this paper we propose a digital-based communication system that uses the logistic map which is a mathematically simple model that is chaotic under certain conditions. The input message signal is modulated using a simple Delta modulator and encrypted using a logistic map. The key signal is also encrypted using the same logistic map with different initial conditions. In the receiver side, the binary-coded message is decrypted using the encrypted key signal that is sent through one of the communication channels. The proposed scheme is experimentally tested using Arduino shields which are simple yet powerful development kits that allows for the implementation of the communication system for testing purposes.

Design and FPGA implementation of a memristor-based multi-scroll hyperchaotic system

2022 ◽  
Author(s):  
Sheng-Hao Jia ◽  
Yu-Xia Li ◽  
Qing-Yu Shi ◽  
Xia Huang
Keyword(s):  
Chaotic System ◽  
Initial Conditions ◽  
Three Dimensional ◽  
Nonlinear Function ◽  
Digital Circuit ◽  
Basins Of Attraction ◽  
Hyperchaotic System ◽  
Digital Implementation ◽  
Dynamical Characteristics ◽  
Novel Method

Abstract In this paper, a novel memristor-based multi-scroll hyperchaotic system is proposed. Based on a voltage-controlled memristor and a modulating sine nonlinear function, a novel method is proposed to generate the multi-scroll hyperchaotic attractors. First, a multi-scroll chaotic system is constructed from a three-dimensional chaotic system by designing a modulating sine nonlinear function. Then, a voltage-controlled memristor is introduced into the above-designed multi-scroll chaotic system. Thus, a memristor-based multi-scroll hyperchaotic system is generated, and this hyperchaotic system can produce various coexisting hyperchaotic attractors with different topological structures. Moreover, different number of scrolls and different topological attractors can be obtained by varying the initial conditions of this system without changing the system parameters. The Lyapunov exponents, bifurcation diagrams and basins of attraction are given to analyze the dynamical characteristics of the multi-scroll hyperchaotic system. Besides, the FPGA-based digital implementation of the memristor-based multi-scroll hyperchaotic system is carried out. The experimental results of the FPGA-based digital circuit are displayed on the oscilloscope.

A Chaotic-Based Pseudo-Random Bit Generator for Navigation Applications

2013 ◽  
Vol 311 ◽  
pp. 99-104 ◽  
Author(s):  
Yi Te Chiang ◽  
He Sheng Wang ◽  
Yung Nien Wang
Keyword(s):  
Navigation System ◽  
Secure Communication ◽  
Initial Conditions ◽  
Random Noise ◽  
Logistic Map ◽  
Random Bit Generator ◽  
Shift Keying ◽  
Chaotic Nature ◽  
Set Up ◽  
Correlation Properties

In this paper, we propose a novel method to generate pseudo-random-noise (PRN) bits for navigation applications. In the present method, the code sequence generator is constructed based on two chaotic logistic maps running parallel and starting from independent initial conditions. The logistic map is a simple mathematical model that shows bewildering complex behavior. By appro-priately setting the initial conditions, the PRN sequence is then generated by comparing the outputs of both logistic maps. Several simulations are set up to verify the correlation properties of the pseudo-random bit generator (PRBG). The result shows that the code sequences generated by the proposed PRBG have great auto- and cross-correlation properties, which are very similar to the PRN sequences used by GPS navigation system. The RPBG sequences are therefore suitable for signal ranging that is used comprehensively in the navigation system. On the other hand, the chaotic nature of the proposed PRBG codes can provide more secure communication than the traditional PRN sequences. The proposed PRN sequences are well suitable to be incorporated with the so-called chaotic shift keying (CSK) modulation.

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