Hyperchaos based Cryptography: New Seven Dimensional Systems to Secure Communications

2017 ◽  
Vol 2 (2) ◽  
pp. 20-30 ◽  
Author(s):  
S.N. Lagmiri ◽  
M. Amghar ◽  
N. Sbiti
Keyword(s):  
High Performance ◽  
Chaotic Systems ◽  
High Gain ◽  
Secure Communications ◽  
Initial Condition ◽  
Chaotic Signals ◽  
Chaotic Cryptography ◽  
Error Dynamics ◽  
Hyperchaotic Systems ◽  
Order Continuous

The growth of technology and the emphasis on privacy have intensified the need to find a fast and secure cryptographic method. As chaotic signals are usually noise-like and chaotic systems are very sensitive to the initial condition, they can be used in cryptography. We have analyzed the properties of two new hyperchaotic systems that we have developed and then propose a secure chaotic cryptography scheme for the transmission of confidential communication. The purpose of this article is to synchronize our two new hyperchaotic systems. These new systems are the fourth-order and six-order continuous hyperchaotic systems. After studying and verifying the hyperchaotic bihaviour of these systems, a high gain observer class is used to synchronize and stabilize the synchronization error dynamics. Then, a chaotic masking scheme is applied to secure the information between a transmitter and a receiver. The results of the simulations confirm the high performance of the observer designed for these high-dimensional systems and the proposed method leads to an almost perfect restoration of the original signal.

Synchronization of chaotic symmetric gyros by one-way coupling conditions

2003 ◽  
Vol 217 (3) ◽  
pp. 331-340 ◽  
Author(s):  
H-K Chen ◽  
T-N Lin
Keyword(s):  
Secure Communication ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Initial Conditions ◽  
Secure Communications ◽  
Liapunov Exponent ◽  
Chaotic Motions ◽  
Weather Forecasts ◽  
Coupling Conditions ◽  
Chaotic Signals

A simple satellite is a symmetric gyro. Satellites are used for communications, weather forecasts, surveying and in several other scientific and military applications. In particular, for military use secure communications are very important. As chaotic signals are usually broadband and noise like, synchronized chaotic systems can be used as cipher generators for secure communication. This paper presents chaos synchronization of two identical chaotic motions of symmetric gyros. It has been demonstrated that applying four different kinds of one-way coupling conditions can synchronize two identical chaotic systems. The sign of the sub-Liapunov exponent has been used as an indicator for the occurrence of chaos synchronization. It has also been found that when chaos synchronization occurs the positive major sub-Liapunov exponent transverses the zero value and becomes negative for the last time. Chaos synchronization can also be shown by phase trajectory. In addition, synchronization time is also examined. Furthermore, it has been found that different distances of the initial conditions between the master system and slave system do not affect the occurrence of chaos synchronization.

Chaos Anti-Synchronization between Chen System and Lu System

2014 ◽  
Vol 631-632 ◽  
pp. 710-713 ◽  
Author(s):  
Xian Yong Wu ◽  
Hao Wu ◽  
Hao Gong
Keyword(s):  
Chaotic Systems ◽  
Sufficient Conditions ◽  
Lyapunov Theory ◽  
State Variables ◽  
Chen System ◽  
System Parameters ◽  
Control Scheme ◽  
Error Dynamics ◽  
The Stability ◽  
Different Chaotic Systems

Anti-synchronization of two different chaotic systems is investigated. On the basis of Lyapunov theory, adaptive control scheme is proposed when system parameters are unknown, sufficient conditions for the stability of the error dynamics are derived, where the controllers are designed using the sum of the state variables in chaotic systems. Numerical simulations are performed for the Chen and Lu systems to demonstrate the effectiveness of the proposed control strategy.

Noninvertible Piecewise Linear Maps Applied to Chaos Synchronization and Secure Communications

1997 ◽  
Vol 07 (07) ◽  
pp. 1617-1634 ◽  
Author(s):  
G. Millerioux ◽  
C. Mira
Keyword(s):  
Dynamical Systems ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Piecewise Linear ◽  
A Priori ◽  
Secure Communications ◽  
Technological Parameters ◽  
Linear Maps ◽  
Piecewise Linear Maps ◽  
Necessary And Sufficient

Recently, it was demonstrated that two chaotic dynamical systems can synchronize each other, leading to interesting applications as secure communications. We propose in this paper a special class of dynamical systems, noninvertible discrete piecewise linear, emphasizing on interesting advantages they present compared with continuous and differentiable nonlinear ones. The generic aspect of such systems, the simplicity of numerical implementation, and the robustness to mismatch of technological parameters make them good candidates. The classical concept of controllability in the control theory is presented and used in order to choose and predict the number of appropriate variables to be transmitted for synchronization. A necessary and sufficient condition of chaotic synchronization is established without computing numerical quantities, introducing a state affinity structure of chaotic systems which provides an a priori establishment of synchronization.

scholarly journals Universal Projective Synchronization of Two Different Hyperchaotic Systems with Unknown Parameters

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Baojie Zhang ◽  
Hongxing Li
Keyword(s):  
Adaptive Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Scaling Function ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Reference Systems ◽  
Unknown Parameters ◽  
Hyperchaotic Systems ◽  
Function Matrix

Universal projective synchronization (UPS) of two chaotic systems is defined. Based on the Lyapunov stability theory, an adaptive control method is derived such that UPS of two different hyperchaotic systems with unknown parameters is realized, which is up to a scaling function matrix and three kinds of reference systems, respectively. Numerical simulations are used to verify the effectiveness of the scheme.

APPLICATION OF DISCRETE CHAOTIC DYNAMICAL SYSTEMS IN CRYPTOGRAPHY — DCC METHOD

1999 ◽  
Vol 09 (06) ◽  
pp. 1121-1135 ◽  
Author(s):  
ZBIGNIEW KOTULSKI ◽  
JANUSZ SZCZEPAŃSKI ◽  
KAROL GÓRSKI ◽  
ANDRZEJ PASZKIEWICZ ◽  
ANNA ZUGAJ
Keyword(s):  
Gas Dynamics ◽  
Chaotic Systems ◽  
Initial Position ◽  
Initial Condition ◽  
Practical Realization ◽  
Secret Key ◽  
Initial Angle ◽  
System A ◽  
Encryption And Decryption ◽  
Dynamics Models

In the paper we propose a method of constructing cryptosystems, utilizing a nonpredictability property of discrete chaotic systems. We point out the requirements for such systems to ensure their security. The presented algorithms of encryption and decryption are based on multiple iteration of a certain dynamical chaotic system coming from gas dynamics models. A plaintext message specifies a part of the initial condition of the system (a particle's initial position). A secret key specifies the remaining part of initial condition (the particle's initial angle) as well as a sequence of discrete choices of the pre-images in the encryption procedure. We also discuss problems connected with the practical realization of such chaotic cryptosystems. Finally we demonstrate numerical experiments illustrating the basic properties of the proposed cryptosystem.

Novel Cryptography Technique via Chaos Synchronization of Fractional-Order Derivative Systems

2018 ◽  
pp. 404-437
Author(s):  
Alain Giresse Tene ◽  
Timoleon Crépin Kofane
Keyword(s):  
Fractional Order ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Order Derivative ◽  
Random Numbers ◽  
Generation Process ◽  
Initial Condition ◽  
Fractional Order Derivative ◽  
Q Matrix ◽  
Fractional System

Synchronization of fractional-order-derivative systems for cryptography purpose is still exploratory and despite an increase in cryptography research, several challenges remain in designing a powerful cryptosystem. This chapter addresses the problem of synchronization of fractional-order-derivative chaotic systems using random numbers generator for a novel technique to key distribution in cryptography. However, there is evidence that researchers have approached the problem using integer order derivative chaotic systems. Consequently, the aim of the chapter lies in coding and decoding a text via chaos synchronization of fractional-order derivative, the performance analysis and the key establishment scheme following an application on a text encryption using the chaotic Mathieu-Van Der Pol fractional system. In order to improve the level of the key security, the Fibonacci Q-matrix is used in the key generation process and the initial condition; the order of the derivative of the responder system secretly shared between the responder and the receiver are also involved. It followed from this study that compared to the existing cryptography techniques, this proposed method is found to be very efficient due to the fact that, it improves the key security.

scholarly journals Extremely high-gain source-gated transistors

2019 ◽  
Vol 116 (11) ◽  
pp. 4843-4848 ◽  
Author(s):  
Jiawei Zhang ◽  
Joshua Wilson ◽  
Gregory Auton ◽  
Yiming Wang ◽  
Mingsheng Xu ◽  
...  
Keyword(s):  
Integrated Circuits ◽  
Indium Tin Oxide ◽  
High Performance ◽  
Critical Factor ◽  
High Gain ◽  
Oxide Semiconductor ◽  
Design Rule ◽  
Short Channel ◽  
Channel Effects ◽  
Channel Lengths

Despite being a fundamental electronic component for over 70 years, it is still possible to develop different transistor designs, including the addition of a diode-like Schottky source electrode to thin-film transistors. The discovery of a dependence of the source barrier height on the semiconductor thickness and derivation of an analytical theory allow us to propose a design rule to achieve extremely high voltage gain, one of the most important figures of merit for a transistor. Using an oxide semiconductor, an intrinsic gain of 29,000 was obtained, which is orders of magnitude higher than a conventional Si transistor. These same devices demonstrate almost total immunity to negative bias illumination temperature stress, the foremost bottleneck to using oxide semiconductors in major applications, such as display drivers. Furthermore, devices fabricated with channel lengths down to 360 nm display no obvious short-channel effects, another critical factor for high-density integrated circuits and display applications. Finally, although the channel material of conventional transistors must be a semiconductor, by demonstrating a high-performance transistor with a semimetal-like indium tin oxide channel, the range and versatility of materials have been significantly broadened.

SYNCHRONIZING HIGH DIMENSIONAL CHAOTIC SYSTEMS VIA EIGENVALUE PLACEMENT WITH APPLICATION TO CELLULAR NEURAL NETWORKS

1999 ◽  
Vol 09 (04) ◽  
pp. 705-711 ◽  
Author(s):  
GIUSEPPE GRASSI ◽  
SAVERIO MASCOLO
Keyword(s):  
Neural Networks ◽  
Numerical Simulations ◽  
Linear Systems ◽  
Chaotic Systems ◽  
Cellular Neural Networks ◽  
High Dimensional ◽  
Suggested Approach ◽  
Error Dynamics ◽  
Controllability Property

In this paper a method for synchronizing high dimensional chaotic systems is developed. The objective is to generate a linear error dynamics between the master and the slave systems, so that synchronization is achievable by exploiting the controllability property of linear systems. The suggested approach is applied to Cellular Neural Networks (CNNs), which can be considered as a tool for generating complex hyperchaotic behaviors. Numerical simulations are carried out for synchronizing CNNs constituted by Chua's circuits.

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