Chaos Synchronization and Its Application to Secure Communications

2021 ◽  
pp. 99-136
Author(s):  
Olivier Spitz
Keyword(s):  
Chaos Synchronization ◽  
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.

Coding Scheme Based on Chaos Synchronization from Noninvertible Maps

1998 ◽  
Vol 08 (10) ◽  
pp. 2019-2029 ◽  
Author(s):  
G. Millerioux ◽  
C. Mira
Keyword(s):  
Control Theory ◽  
Chaos Synchronization ◽  
Residual Error ◽  
Secure Communications ◽  
Dynamic Features ◽  
Initial Information ◽  
Digital Implementation ◽  
Coding Scheme ◽  
Observer Model ◽  
Noninvertible Maps

This paper deals with a new coding scheme in digital implementation for secure communications. It is based on specific dynamic features generated by noninvertible maps. The main results are a global chaos synchronization, an exact synchronization without a residual error generated by the classical methods, a robustness with respect to channel disturbances. Chaos synchronization is obtained by introducting an observer model and the classical results of the control theory. Besides, this coding scheme introduces several "keys" required for decoding the initial information, which improves the security of communications.

A new chaos synchronization scheme and its application to secure communications

2013 ◽  
Vol 73 (1-2) ◽  
pp. 705-722 ◽  
Author(s):  
Li-feng Zhang ◽  
Xin-lei An ◽  
Jian-gang Zhang
Keyword(s):  
Chaos Synchronization ◽  
Secure Communications ◽  
Synchronization Scheme

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.

Synchronization of Chaotic Quantum Dot Light Emitting Diodes under Optical Feedback Effect

2020 ◽  
pp. 144-148
Keyword(s):  
Quantum Dot ◽  
Delay Time ◽  
Chaos Synchronization ◽  
Optical Feedback ◽  
Light Emitting Diode ◽  
Feedback Effect ◽  
Complete Synchronization ◽  
Light Emitting ◽  
Coupling Methods ◽  
Coupling Parameters

Chaos synchronization of delayed quantum dot light emitting diode has been studied theortetically which are coupled via the unidirectional and bidirectional. at synchronization of chaotic, The dynamics is identical with delayed optical feedback for those coupling methods. Depending on the coupling parameters and delay time the system exhibits complete synchronization, . Under proper conditions, the receiver quantum dot light emitting diode can be satisfactorily synchronized with the transmitter quantum dot light emitting diode due to the optical feedback effect.

Noise Effects on Generalized Chaos Synchronization in Semiconductor Lasers

2014 ◽  
Vol 2 ◽  
pp. 413-416
Author(s):  
Kenichi Arai ◽  
Susumu Shinohara ◽  
Satoshi Sunada ◽  
Kazuyuki Yoshimura ◽  
Takahisa Harayama ◽  
...  
Keyword(s):  
Semiconductor Lasers ◽  
Chaos Synchronization ◽  
Noise Effects
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