scholarly journals Breaking projective chaos synchronization secure communication using filtering and generalized synchronization

2005 ◽  
Vol 24 (3) ◽  
pp. 775-783 ◽  
Author(s):  
G. Álvarez ◽  
Shujun Li ◽  
F. Montoya ◽  
G. Pastor ◽  
M. Romera
Keyword(s):  
Secure Communication ◽  
Chaos Synchronization ◽  
Generalized Synchronization

Chaos Synchronization

2011 ◽  
pp. 152-182 ◽  
Author(s):  
Hassan Salarieh ◽  
Mohammad Shahrokhic
Keyword(s):  
Control Theory ◽  
Secure Communication ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Measurement Noise ◽  
Central Core ◽  
Lag Phase ◽  
Generalized Synchronization ◽  
Parameter Uncertainties ◽  
Different Chaotic Systems

Chaos synchronization is the central core of various message encryption methods which are developed based on the properties of chaotic systems. This chapter introduces the concept of chaos synchronization and its application in secure communication. Some standard approaches such as complete, lag, phase and generalized synchronization are defined first. Then application of control theory for synchronization of different chaotic systems is discussed. Some synchronization algorithms based on different control techniques are presented. It is shown that how the controlling methods can be modified in a synchronization framework to cope with parameter uncertainties and measurement noise. Several chaotic systems are simulated and synchronized to show the performance of the reported methods.

CHAOS SYNCHRONIZATION VIA UNIDIRECTIONAL COUPLING AND ITS APPLICATION TO SECURE COMMUNICATION

2009 ◽  
Vol 23 (32) ◽  
pp. 5949-5964 ◽  
Author(s):  
XINGYUAN WANG ◽  
MINGJUN WANG
Keyword(s):  
Secure Communication ◽  
Chaos Synchronization ◽  
Function Method ◽  
The Self ◽  
Largest Lyapunov Exponent ◽  
Global Synchronization ◽  
Unidirectional Coupling ◽  
Response System ◽  
Lyapunov Function Method ◽  
Simulation Results

This paper studies chaos synchronization via unidirectional coupling. The self-synchronization of Lorenz systems, modified coupled dynamos systems and hyperchaotic Chen systems is studied by three methods: the Lyapunov function method, the global synchronization method and the numerical calculation of the largest Lyapunov exponent method. In regard to application to communication, we show that via transmitting single signal the synchronization of the drive system and the response system can be achieved. An example of applying self-synchronization of hyperchaotic Chen systems to chaotic masking secure communication is presented in this paper. Simulation results show the effectiveness of the method.

An Adaptive Chaos Synchronization with Controller and Secure Communication

2013 ◽  
Vol 401-403 ◽  
pp. 1657-1660
Author(s):  
Bin Zhou ◽  
Xiang Wang ◽  
Yu Gao ◽  
Shao Cheng Qu
Keyword(s):  
Adaptive Control ◽  
Lyapunov Stability ◽  
Stability Theory ◽  
Secure Communication ◽  
Chaos Synchronization ◽  
Lyapunov Stability Theory ◽  
Adaptive Controller ◽  
Adaptive Synchronization ◽  
Sufficient Condition ◽  
Control Parameters

An adaptive controller with adaptive rate is presented to synchronize two chaos systems and to apply to secure communication. Based on Lyapunov stability theory, a sufficient condition and adaptive control parameters are obtained. Finally, the simulation with synchronization and secure communication is given to show the effectiveness of the proposed method. Keywords: adaptive; synchronization; observer; controller.

scholarly journals Time-Delay Robust Nonlinear Dynamic Inversion for Chaos Synchronization with Application to Secure Communications

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Eunro Kim ◽  
Inseok Yang ◽  
Dongik Lee
Keyword(s):  
Time Delay ◽  
Nonlinear Dynamic ◽  
Secure Communication ◽  
Chaos Synchronization ◽  
Chaotic Behavior ◽  
Control Technique ◽  
Delay Systems ◽  
Dynamic Inversion ◽  
Synchronization Problem ◽  
Nonlinear Dynamic Inversion

The time-delay robust nonlinear dynamic inversion (TDRNDI) control technique is proposed to synchronize time-delay Chen systems. The time-delay Chen circuit is simple but exhibits complex irregular (chaotic) behavior. For this reason, this circuit can be efficiently used to encrypt messages for secure communication. In this paper, the nonlinear control-based chaos synchronization problem is considered. The proposed TDRNDI controller is a modified version of a robust nonlinear dynamic inversion (RNDI) applicable to chaotic systems, including time-delay systems. The performance and feasibility of the proposed TDRNDI controller are demonstrated by conducting numerical simulations with application to a secure communication network.

Study on Discreted Fifth-Order CNN Hyper-Chaos Synchronization Reduced Order Observer

2011 ◽  
Vol 135-136 ◽  
pp. 960-963
Author(s):  
Jie Xu ◽  
Juan Chang ◽  
Lian Zhang ◽  
Yong Sun
Keyword(s):  
Neural Networks ◽  
Continuous Time ◽  
Secure Communication ◽  
Chaos Synchronization ◽  
State Observer ◽  
Cellular Neural Networks ◽  
Reduced Order ◽  
Reduced Order Observer ◽  
Fifth Order ◽  
Order State

Secure communication with the hyper-chaos synchronization approach is the popular investigation. In this paper the fifth-order Cellular Neural Networks(CNN) hyper-chaos equation of continuous time was discreted. The innovation was that the synchronization of the hyper-chaos system was realized with the discreted reduced order state observer. Finally, the system stabilizing to zero after fugacious transition and achieving synchronization were validated by simulations, which showed the algorithm’s availability.

scholarly journals DII-Based Linear Feedback Control Design for Practical Synchronization of Chaotic Systems with Uncertain Input Nonlinearity and Application to Secure Communication

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Yeong-Jeu Sun
Keyword(s):  
Secure Communication ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Exponential Convergence ◽  
Chaotic Synchronization ◽  
Linear Control ◽  
Linear Feedback ◽  
Linear Feedback Control ◽  
Input Nonlinearity ◽  
Uncertain Input

The concept of practical synchronization is introduced and the chaos synchronization of master-slave chaotic systems with uncertain input nonlinearities is investigated. Based on the differential and integral inequalities (DII) approach, a simple linear control is proposed to realize practical synchronization for master-slave chaotic systems with uncertain input nonlinearities. Besides, the guaranteed exponential convergence rate can be prespecified. Applications of proposed master-slave chaotic synchronization technique to secure communication as well as several numerical simulations are given to demonstrate the feasibility and effectiveness of the obtained result.

Design of S-Box Based on the Discrete Chaos Synchronization Systems

2013 ◽  
Vol 373-375 ◽  
pp. 1874-1880
Author(s):  
Dan Dan Han ◽  
Hong Yan Zang ◽  
Le Quan Min
Keyword(s):  
Affine Transformation ◽  
Chaos Synchronization ◽  
Initial Condition ◽  
Generalized Synchronization ◽  
Synchronization System ◽  
Discrete Chaos ◽  
New System

Based on the theorem of generalized synchronization for discrete chaos systems, a new discrete chaos synchronization system was designed. Using the new system and the properties of sensitive dependent on initial condition, a novel S-box generation approach was proposed. An affine transformation was used to shuffle S-box. Testing the cryptographic properties shows that the S-box generated in the proposed algorithm has sound cryptographic performance.

CHANNEL-INDEPENDENT CHAOTIC SECURE COMMUNICATION

1996 ◽  
Vol 06 (12b) ◽  
pp. 2653-2660 ◽  
Author(s):  
TAO YANG ◽  
LEON O. CHUA
Keyword(s):  
Secure Communication ◽  
Chaotic Systems ◽  
Generalized Synchronization ◽  
Chaotic Secure Communication ◽  
Theoretical Results

The generalized synchronization (GS) of two identical chaotic systems through an unknown channel is studied. First, some theoretical results of GS through an unknown channel are derived. Finally, an application of GS to channel-independent chaotic secure communication is presented.

Robust finite-time chaos synchronization of time-delay chaotic systems and its application in secure communication

2016 ◽  
Vol 40 (4) ◽  
pp. 1177-1187 ◽  
Author(s):  
Hua Wang ◽  
Jian-Min Ye ◽  
Zhong–Hua Miao ◽  
Edmond A Jonckheere
Keyword(s):  
Time Delay ◽  
Numerical Simulations ◽  
Finite Time ◽  
Secure Communication ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Chaotic Synchronization ◽  
Uncertain Parameters ◽  
Wide Range ◽  
Zero Items

This paper presents finite-time chaos synchronization of time-delay chaotic systems with uncertain parameters. According to the proposed method, a lot of coupled items can be treated as zero items. Thus, the whole system can be simplified greatly. Based on robust chaotic synchronization, secure communication can be realized with a wide range of parameter disturbance and time-delay. Numerical simulations are provided to illustrate the effectiveness of the proposed method.

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