Secure Communication Systems Based on the Synchronization of Chaotic Systems

2019 ◽  
pp. 281-311 ◽  
Author(s):  
Samir Bendoukha ◽  
Salem Abdelmalek ◽  
Adel Ouannas
Keyword(s):  
Secure Communication ◽  
Communication Systems ◽  
Chaotic Systems

A SIMPLE WAY TO SYNCHRONIZE CHAOTIC SYSTEMS WITH APPLICATIONS TO SECURE COMMUNICATION SYSTEMS

1993 ◽  
Vol 03 (06) ◽  
pp. 1619-1627 ◽  
Author(s):  
CHAI WAH WU ◽  
LEON O. CHUA
Keyword(s):  
Lyapunov Exponents ◽  
Secure Communication ◽  
Communication Systems ◽  
Chaotic Systems ◽  
Functional Form ◽  
Response System ◽  
Definition Of

In this paper, we provide a scheme for synthesizing synchronized circuits and systems. Synchronization of the drive and response system is proved trivially without the need for computing numerically the conditional Lyapunov exponents. We give a definition of the driving and response system having the same functional form, which is more general than the concept of homogeneous driving by Pecora & Carroll [1991]. Finally, we show how synchronization coupled with chaos can be used to implement secure communication systems. This is illustrated with examples of secure communication systems which are inherently error-free in contrast to the signal-masking schemes proposed in Cuomo & Oppenheim [1993a,b] and Kocarev et al. [1992].

SYNCHRONIZATION THEOREM FOR A CHAOTIC SYSTEM

1995 ◽  
Vol 05 (01) ◽  
pp. 297-302 ◽  
Author(s):  
JÖRG SCHWEIZER ◽  
MICHAEL PETER KENNEDY ◽  
MARTIN HASLER ◽  
HERVÉ DEDIEU
Keyword(s):  
Lyapunov Function ◽  
Lyapunov Exponents ◽  
Chaotic System ◽  
Secure Communication ◽  
Communication Systems ◽  
Chaotic Systems ◽  
Secure Communications ◽  
Error Feedback ◽  
Response System ◽  
Synchronization Method

Since Pecora & Carroll [Pecora & Carroll, 1991; Carroll & Pecora, 1991] have shown that it is possible to synchronize chaotic systems by means of a drive-response partition of the systems, various authors have proposed synchronization schemes and possible secure communications applications [Dedieu et al., 1993, Oppenheim et al., 1992]. In most cases synchronization is proven by numerically computing the conditional Lyapunov exponents of the response system. In this work a new synchronization method using error-feedback is developed, where synchronization is provable using a global Lyapunov function. Furthermore, it is shown how this scheme can be applied to secure communication systems.

scholarly journals Symplectic Synchronization of Lorenz-Stenflo System with Uncertain Chaotic Parameters via Adaptive Control

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Cheng-Hsiung Yang
Keyword(s):  
Adaptive Control ◽  
Secure Communication ◽  
Communication Systems ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Asymptotical Stability ◽  
Sufficient Condition ◽  
Null Solution ◽  
Special Cases ◽  
Error Dynamics

A new symplectic chaos synchronization of chaotic systems with uncertain chaotic parameters is studied. The traditional chaos synchronizations are special cases of the symplectic chaos synchronization. A sufficient condition is given for the asymptotical stability of the null solution of error dynamics and a parameter difference. The symplectic chaos synchronization with uncertain chaotic parameters may be applied to the design of secure communication systems. Finally, numerical results are studied for symplectic chaos synchronized from two identical Lorenz-Stenflo systems in three different cases.

RADIAL BASIS FUNCTION NETWORKS AS CHAOTIC GENERATORS FOR SECURE COMMUNICATION SYSTEMS

1999 ◽  
Vol 09 (01) ◽  
pp. 221-232 ◽  
Author(s):  
S. PAPADIMITRIOU ◽  
A. BEZERIANOS ◽  
T. BOUNTIS
Keyword(s):  
Radial Basis Function ◽  
Basis Function ◽  
Secure Communication ◽  
Communication Systems ◽  
Chaotic Systems ◽  
Chaotic Maps ◽  
Training Data ◽  
Radial Basis Function Networks ◽  
Rbf Networks ◽  
Radial Basis

This paper improves upon a new class of discrete chaotic systems (i.e. chaotic maps) recently introduced for effective information encryption. The nonlinearity and adaptability of these systems are achieved by designing proper radial basis function networks. The potential for automatic synchronization, the lack of periodicity and the extremely large parameter spaces of these chaotic maps offer robust transmission security. The Radial Basis Function (RBF) networks offer a large number of parameters (i.e. the centers and spreads of the RBF kernels and the weights of the linear layer) while at the same time as universal approximators they have the flexibility to implement any function. The RBF networks can learn the dynamics of chaotic systems (maps or flows) and mimic them accurately by using many more parameters than the original dynamical recurrence. Since the parameter space size increases exponentially with respect to the number of parameters, the RBF based systems greatly outperform previous designs in terms of encryption security. Moreover, the learning of the dynamics from data generated by chaotic systems guarantees the chaoticity of the dynamics of the RBF networks and offers a convenient method of implementing any desirable chaotic dynamics. Since each sequence of training data gives rise to a distinct RBF configuration, theoretically there exists an infinity of possible configurations.

scholarly journals Generalized Dynamic Switched Synchronization between Combinations of Fractional-Order Chaotic Systems

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-17 ◽  
Author(s):  
Wafaa S. Sayed ◽  
Moheb M. R. Henein ◽  
Salwa K. Abd-El-Hafiz ◽  
Ahmed G. Radwan
Keyword(s):  
Fractional Order ◽  
Secure Communication ◽  
Communication Systems ◽  
Chaotic Systems ◽  
Mathematical Formulation ◽  
Dynamic Scaling ◽  
Scaling Factors ◽  
Operating Modes ◽  
Master System ◽  
Synchronization Scheme

This paper proposes a novel generalized switched synchronization scheme amongnfractional-order chaotic systems with various operating modes. Digital dynamic switches and dynamic scaling factors are employed, which offer many new capabilities. Dynamic switches determine the role of each system as a master or a slave. A system can either have a fixed role throughout the simulation time (static switching) or switch its role one or more times (dynamic switching). Dynamic scaling factors are used for each state variable of the master system. Such scaling factors control whether the master is a single system or a combination of several systems. In addition, these factors determine the generalized relation between the original systems from which the master system is built as well as the slave system(s). Moreover, they can be utilized to achieve different kinds of generalized synchronization relations for the purpose of generating new attractor diagrams. The paper presents a mathematical formulation and analysis of the proposed synchronization scheme. Furthermore, many numerical simulations are provided to demonstrate the successful generalized switched synchronization of several fractional-order chaotic systems. The proposed scheme provides various functions suitable for applications such as different master-slave communication models and secure communication systems.

APPLICATION OF ICA–EEMD TO SECURE COMMUNICATIONS IN CHAOTIC SYSTEMS

2012 ◽  
Vol 23 (04) ◽  
pp. 1250028 ◽  
Author(s):  
SHIH-LIN LIN ◽  
PI-CHENG TUNG ◽  
NORDEN E. HUANG
Keyword(s):  
White Noise ◽  
Secure Communication ◽  
Communication Systems ◽  
Chaotic Systems ◽  
Gaussian White Noise ◽  
Secure Communications ◽  
Original Message ◽  
Mixture Of Gaussian

We propose the application of ICA–EEMD to secure communication systems. ICA–EEMD is employed to retrieve the message data encrypted by a mixture of Gaussian white noise and chaotic noise. The results showed that ICA–EEMD can effectively extract the two original message data.

Impulsively synchronizing chaotic systems with delay and applications to secure communication

Automatica ◽  
2005 ◽  
Vol 41 (9) ◽  
pp. 1491-1502 ◽  
Author(s):  
A. Khadra ◽  
X.Z. Liu ◽  
X. Shen
Keyword(s):  
Secure Communication ◽  
Chaotic Systems

Design and implementation of digital secure communication based on synchronized chaotic systems

2010 ◽  
Vol 20 (1) ◽  
pp. 229-237 ◽  
Author(s):  
Jui-Sheng Lin ◽  
Cheng-Fang Huang ◽  
Teh-Lu Liao ◽  
Jun-Juh Yan
Keyword(s):  
Secure Communication ◽  
Chaotic Systems ◽  
Design And Implementation
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