Application of Modified ICA to Secure Communications in Chaotic Systems

2007 ◽  
pp. 431-444 ◽  
Author(s):  
Shih-Lin Lin ◽  
Pi-Cheng Tung
Keyword(s):  
Chaotic Systems ◽  
Secure Communications

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 TIME SCALING OF CHAOTIC SYSTEMS: APPLICATION TO SECURE COMMUNICATIONS

2008 ◽  
Vol 18 (02) ◽  
pp. 567-575 ◽  
Author(s):  
DONATELLO MATERASSI ◽  
MICHELE BASSO
Keyword(s):  
Chaotic Systems ◽  
Scaling Function ◽  
Secure Communications ◽  
Property A ◽  
Chaos Encryption ◽  
Private Key ◽  
Time Scaling ◽  
Binary Signal ◽  
Analog Channel

The paper deals with time-scaling transformations of dynamical systems. Such scaling functions operate a change of coordinates on the time axis of the system trajectories preserving its phase portrait. Exploiting this property, a chaos encryption technique to transmit a binary signal through an analog channel is proposed. The scheme is based on a suitable time-scaling function which plays the role of a private key. The encoded transmitted signal is proved to resist known decryption attacks offering a secure and reliable communication.

scholarly journals Finite-Time Synchronization of Chaotic Systems with Different Dimension and Secure Communication

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Shouquan Pang ◽  
Yu Feng ◽  
Yongjian Liu
Keyword(s):  
Finite Time ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Time Synchronization ◽  
Secure Communications ◽  
Hyperchaotic System ◽  
Uncertain Parameters ◽  
Three Dimension ◽  
Electronic Circuits ◽  
Lorenz Chaotic System

Finite-time synchronization of chaotic systems with different dimension and secure communication is investigated. It is rigorously proven that global finite-time synchronization can be achieved between three-dimension Lorenz chaotic system and four-dimension Lorenz hyperchaotic system which have certain parameters or uncertain parameters. The electronic circuits of finite-time synchronization using Multisim 12 are designed to verify our conclusion. And the application to the secure communications is also analyzed and discussed.

IMPULSIVE SYNCHRONIZATION OF CHAOTIC SYSTEMS VIA LINEAR MATRIX INEQUALITIES

2006 ◽  
Vol 16 (01) ◽  
pp. 221-227 ◽  
Author(s):  
Y. JI ◽  
C. Y. WEN ◽  
Z. G. LI
Keyword(s):  
Linear Matrix Inequalities ◽  
Chaotic Systems ◽  
Structural Knowledge ◽  
Linear Matrix ◽  
Secure Communications ◽  
Bandwidth Efficiency ◽  
Matrix Inequalities ◽  
Impulsive Synchronization

Impulsive synchronization of chaotic systems is studied in this paper. By exploring the structural knowledge of the systems and using linear matrix inequalities, some less conservative conditions than existing results are derived. With the new conditions, the bound of intervals for transmitting impulses can be increased and this results in higher bandwidth efficiency. Our results are thus able to improve the efficiencies of the existing technologies on chaotic secure communications and chaotic spread communications.

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.

DIGITAL CRYPTOGRAPHY AND FEEDBACK SYNCHRONIZATION OF CHAOTIC SYSTEMS

2011 ◽  
Vol 25 (04) ◽  
pp. 521-529 ◽  
Author(s):  
MALA MITRA ◽  
SANTO BANERJEE
Keyword(s):  
Numerical Simulations ◽  
Lyapunov Stability ◽  
Stability Theory ◽  
Chaotic Systems ◽  
Coupled System ◽  
Lyapunov Stability Theory ◽  
Chaotic Synchronization ◽  
Feedback Controller ◽  
New Method ◽  
Secure Communications

Secure communications via chaotic synchronization is demonstrated in this literature. At first we have designed a feedback controller for chaotic synchronization utilizing the Lyapunov stability theory for cascade-connected systems.The method has been applied successfully to make two identical systems globally asymptotically synchronized. The result of numerical simulations are given to validate the effectiveness of this method. Then we have discussed a new method of cryptography for this coupled system which is very simple to implement and effective.

Secure Communications Based on Variable Topology of Chaotic Circuits

1997 ◽  
Vol 07 (12) ◽  
pp. 2861-2869 ◽  
Author(s):  
Alexander A. Alexeyev ◽  
Michael M. Green
Keyword(s):  
Digital Control ◽  
Chaotic Systems ◽  
New Technique ◽  
Secure Communications ◽  
Variable Topology ◽  
Chaotic Circuits ◽  
Control Circuits ◽  
A New Technique

A new technique for synchronization of chaotic circuits is proposed. This technique, based on varying a circuit's overall topology rather than varying a set of continuous parameters, offers a possible resolution to the tradeoff between security and synchronizability inherent in existing chaotic systems. The encryption key is represented by a mapping from a set of nodes to a set of switches in the circuit. This method significantly improves reliability and can be easily interfaced to digital control circuits.

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