DIGITAL STREAM CIPHER BASED ON SCS-PRBG

2009 ◽  
Vol 23 (25) ◽  
pp. 5085-5092
Author(s):  
XINGYUAN WANG ◽  
WEI LIU ◽  
NINI GU ◽  
HUAGUANG ZHANG
Keyword(s):  
Parallel Computation ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Stream Cipher ◽  
Theoretic Analysis ◽  
Switch Control ◽  
Random Bit Generator ◽  
And Performance ◽  
Multiple Chaotic Systems

Limitations caused by degeneration of dynamics characteristics may exist in the traditional single chaotic system. The authors propose a method i.e., switch controller chaos and pseudo random bit generator (it is called SCS-PRBG for short), which is based on multiple chaotic systems and switch control. By the theoretic analysis of random key stream and performance of SCS-PRBG, we can see that its digital stream cipher has better randomicity and security. And if using hardware parallel computation, the speed of encryption can be improved sharply. The results of the experiments also present better security of this arithmetic.

STABILIZATION OF CHAOTIC SYSTEMS USING LINEAR SAMPLED-DATA CONTROLLER

2007 ◽  
Vol 17 (06) ◽  
pp. 2021-2031 ◽  
Author(s):  
H. K. LAM ◽  
F. H. F. LEUNG
Keyword(s):  
Chaotic System ◽  
Chaotic Systems ◽  
Lorenz System ◽  
Design Procedure ◽  
Sampling Period ◽  
Feedback Gain ◽  
Sampled Data ◽  
Lyapunov Approach ◽  
And Performance ◽  
Data Controller

This paper proposes a linear sampled-data controller for the stabilization of chaotic system. The system stabilization and performance issues will be investigated. Stability conditions will be derived based on the Lyapunov approach. The findings of the maximum sampling period and the feedback gain of controller, and the optimization of system performance will be formulated as a generalized eigenvalue minimization problem. Based on the analysis result, a stable linear sampled-data controller can be realized systematically to stabilize a chaotic system. An example of stabilizing a Lorenz system will be given to illustrate the design procedure and effectiveness of the proposed approach.

A DESIGN OF PSEUDO-RANDOM BIT GENERATOR BASED ON SINGLE CHAOTIC SYSTEM

2012 ◽  
Vol 23 (03) ◽  
pp. 1250024 ◽  
Author(s):  
XING-YUAN WANG ◽  
YI-XIN XIE
Keyword(s):  
Chaotic System ◽  
Chaotic Systems ◽  
Statistical Properties ◽  
Security Issues ◽  
Initial Sensitivity ◽  
Wide Range ◽  
Random Bit Generator ◽  
Dynamical Properties ◽  
Experimental Analyses

Pseudo-random bit sequence have a wide range of applications in the field of cryptography and communications. For the good chaotic dynamical properties of chaotic systems sequence such as randomness and initial sensitivity, chaotic systems have a strong advantage in generating the pseudo-random bit sequence. However, in practical use, the dynamical properties of chaotic systems will be degraded because of the limited calculation accuracy and it even could cause a variety of security issues. To improve the security, in full analyses of the pseudo-random bit generator proposed in our former paper, we point out some problems in our former design and redesign a better pseudo-random bit generator base on it. At the same time, we make some relevant theoretical and experimental analyses on it. The experiments show that the design proposed in this paper has good statistical properties and security features.

Dynamics, Synchronization and Electronic Implementations of a New Lorenz-like Chaotic System with Nonhyperbolic Equilibria

2019 ◽  
Vol 29 (14) ◽  
pp. 1950197 ◽  
Author(s):  
P. D. Kamdem Kuate ◽  
Qiang Lai ◽  
Hilaire Fotsin
Keyword(s):  
Chaotic System ◽  
Chaotic Systems ◽  
Lorenz System ◽  
Chaotic Behavior ◽  
Piecewise Linear ◽  
Period Doubling ◽  
Adaptive Synchronization ◽  
The Novel ◽  
Algebraic Equations ◽  
The Lorenz System

The Lorenz system has attracted increasing attention on the issue of its simplification in order to produce the simplest three-dimensional chaotic systems suitable for secure information processing. Meanwhile, Sprott’s work on elegant chaos has revealed a set of 19 chaotic systems all described by simple algebraic equations. This paper presents a new piecewise-linear chaotic system emerging from the simplification of the Lorenz system combined with the elegance of Sprott systems. Unlike the majority, the new system is a non-Shilnikov chaotic system with two nonhyperbolic equilibria. It is multiplier-free, variable-boostable and exclusively based on absolute value and signum nonlinearities. The use of familiar tools such as Lyapunov exponents spectra, bifurcation diagrams, frequency power spectra as well as Poincaré map help to demonstrate its chaotic behavior. The novel system exhibits inverse period doubling bifurcations and multistability. It has only five terms, one bifurcation parameter and a total amplitude controller. These features allow a simple and low cost electronic implementation. The adaptive synchronization of the novel system is investigated and the corresponding electronic circuit is presented to confirm its feasibility.

Information Theoretic Analysis and Performance Gains of 3-Color Shift Keying

2021 ◽  
pp. 1-1
Author(s):  
Alexandros E. Tzikas ◽  
Panagiotis D. Diamantoulakis ◽  
George K. Karagiannidis
Keyword(s):  
Theoretic Analysis ◽  
Information Theoretic ◽  
Color Shift ◽  
Shift Keying ◽  
And Performance ◽  
Performance Gains

Soft Computing Simulations of Chaotic Systems

2019 ◽  
Vol 29 (08) ◽  
pp. 1950112 ◽  
Author(s):  
Erivelton G. Nepomuceno ◽  
Priscila F. S. Guedes ◽  
Alípio M. Barbosa ◽  
Matjaž Perc ◽  
Robert Repnik
Keyword(s):  
Lower Bound ◽  
Soft Computing ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Logistic Map ◽  
Largest Lyapunov Exponent ◽  
Lower And Upper Bounds ◽  
Finite Precision ◽  
Chua Circuit ◽  
Widespread Interest

Soft computing strategies are drawing widespread interest in engineering and science fields, particularly so because of their capacity to reason and learn in a domain of inherent uncertainty, approximation, and unpredictability. However, soft computing research devoted to finite precision effects in chaotic system simulations is still in a nascent stage, and there are ample opportunities for new discoveries. In this paper, we consider the error that is due to finite precision in the simulation of chaotic systems. We present a generalized version of the lower bound error using an arbitrary number of natural interval extensions. The lower bound error has been used to simulate a chaotic system with lower and upper bounds. The width of this interval does not diverge, which is an advantage compared to other techniques. We illustrate our approach on three systems, namely the logistic map, the Singer map and the Chua circuit. Moreover, we validate the method by calculating the largest Lyapunov exponent.

MUTUAL AND SELF-COMPOUNDING OF CHAOTIC SYSTEMS

1996 ◽  
Vol 06 (04) ◽  
pp. 759-767
Author(s):  
R. SINGH ◽  
P.S. MOHARIR ◽  
V.M. MARU
Keyword(s):  
Lyapunov Exponent ◽  
Lyapunov Exponents ◽  
Chaotic System ◽  
Dynamic Systems ◽  
Mantle Convection ◽  
Chaotic Systems ◽  
Compound System ◽  
Two Systems

The notion of compounding a chaotic system was introduced earlier. It consisted of varying the parameters of the compoundee system in proportion to the variables of the compounder system, resulting in a compound system which has in general higher Lyapunov exponents. Here, the notion is extended to self-compounding of a system with a real-earth example, and mutual compounding of dynamic systems. In the former, the variables in a system perturb its parameters. In the latter, two systems affect the parameters of each other in proportion to their variables. Examples of systems in such compounding relationships are studied. The existence of self-compounding is indicated in the geodynamics of mantle convection. The effect of mutual compounding is studied in terms of Lyapunov exponent variations.

scholarly journals Assessment the Visual Clarity of the Projector in Classroom and Innovative Asymmetric Distribution LED Tube Applications

2021 ◽  
Vol 11 (23) ◽  
pp. 11153
Author(s):  
Chun-Hsi Liu ◽  
Chun-Yu Hsiao ◽  
Jyh-Cherng Gu ◽  
Kuan-Yi Liu ◽  
Chih-Hung Chang ◽  
...  
Keyword(s):  
Vertical Plane ◽  
Asymmetric Distribution ◽  
Improvement Strategy ◽  
Vertical Projection ◽  
Lighting Conditions ◽  
Projection Screen ◽  
Switch Control ◽  
Average Luminance ◽  
And Performance ◽  
The Relationship

The paper aims to explore the relationship between the vertical plane luminance on projection screens and human visual clarity in the classroom or meeting room. While controlling the lighting environment conditions of the classroom to create different luminous distributions and luminance on the projection screen, a survey is conducted to understand students’ visual experience about screen clarity during the field experiment. The luminance of each picture on the projection screen is measured under the specified lighting conditions of luminaires in the classroom, and the relationship is formulated between the average luminance on the projection screen and the visual satisfaction based on clarity of experience. This will be useful for further studying the acceptable threshold of luminance distribution in the classroom to provide a better visual clarity and lighting quality of projection screens while teaching. In this study, the measurement and performance evaluation on a projection screen were carried out at a classroom in the National Taiwan University of Science and Technology (NTUST). By using an image luminance meter and analyzing the research results, we propose an improvement strategy for asymmetric luminous distribution design of LED light tube and light switch control mechanism of luminaires to resolve the inadequate luminance of the vertical projection screen area to improve the lighting quality and visual clarity of the projection screen while teaching with the least cost.

scholarly journals A novel chaotic system based on coupled map lattice and its application in HEVC encryption

2021 ◽  
Vol 18 (6) ◽  
pp. 9410-9429
Author(s):  
Qing Ye ◽  
◽  
Qiaojia Zhang ◽  
Sijie Liu ◽  
Kaiqiang Chen ◽  
...  
Keyword(s):  
Chaotic System ◽  
Stream Cipher ◽  
High Efficiency ◽  
Chaotic Map ◽  
Large Data ◽  
Coupled Map Lattice ◽  
Video Data ◽  
Video Encryption ◽  
High Efficiency Video Coding ◽  
Video Information

<abstract> <p>Video information is currently widely used in various fields. Compared with image and text data, video data has the characteristics of large data volume, strong data relevance, and large data redundancy, which makes traditional cryptographic systems no longer suitable for video encryption systems. The paper proposes a new chaotic system based on coupled map lattice (CML) and applies it to high efficiency video coding (HEVC) video encryption. The chaotic system logistic-iterative chaotic map with infinite collapses-coupled map lattice (L-ICMIC-CML), which is improved on the basis of the ICMIC system and combined with CML, generates stream ciphers and encrypts some syntax elements of HEVC. The experimental results show that the stream cipher generated by the L-ICMIC-CML system passes the SP800-22 Revla test and has strong randomness. Applying the stream cipher to the proposed HEVC encryption scheme, through the analysis of the encryption scheme's security, encryption time and encryption efficiency, it is better than other chaotic system encryption schemes. The video encryption system proposed in this paper is both safe and efficient.</p> </abstract>

scholarly journals Hybrid Passivity Based and Fuzzy Type-2 Controller for Chaotic and Hyper-Chaotic Systems

2017 ◽  
Vol 11 (2) ◽  
pp. 96-103 ◽  
Author(s):  
Fernando Serrano ◽  
Josep M. Rossell
Keyword(s):  
Lyapunov Exponents ◽  
Chaotic System ◽  
Control Strategy ◽  
Chaotic Systems ◽  
Control Law ◽  
Four Dimensions ◽  
Design Requirements ◽  
The Stability ◽  
Theoretical Results

AbstractIn this paper a hybrid passivity based and fuzzy type-2 controller for chaotic and hyper-chaotic systems is presented. The proposed control strategy is an appropriate choice to be implemented for the stabilization of chaotic and hyper-chaotic systems due to the energy considerations of the passivity based controller and the flexibility and capability of the fuzzy type-2 controller to deal with uncertainties. As it is known, chaotic systems are those kinds of systems in which one of their Lyapunov exponents is real positive, and hyper-chaotic systems are those kinds of systems in which more than one Lyapunov exponents are real positive. In this article one chaotic Lorentz attractor and one four dimensions hyper-chaotic system are considered to be stabilized with the proposed control strategy. It is proved that both systems are stabilized by the passivity based and fuzzy type-2 controller, in which a control law is designed according to the energy considerations selecting an appropriate storage function to meet the passivity conditions. The fuzzy type-2 controller part is designed in order to behave as a state feedback controller, exploiting the flexibility and the capability to deal with uncertainties. This work begins with the stability analysis of the chaotic Lorentz attractor and a four dimensions hyper-chaotic system. The rest of the paper deals with the design of the proposed control strategy for both systems in order to design an appropriate controller that meets the design requirements. Finally, numerical simulations are done to corroborate the obtained theoretical results.

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