A secure communication scheme based on the phase synchronization of chaotic systems

2003 ◽  
Vol 13 (2) ◽  
pp. 508-514 ◽  
Author(s):  
J. Y. Chen ◽  
K. W. Wong ◽  
L. M. Cheng ◽  
J. W. Shuai
2008 ◽  
Vol 22 (24) ◽  
pp. 4175-4188 ◽  
Author(s):  
YANG TANG ◽  
JIAN-AN FANG ◽  
LIANG CHEN

In this paper, a simple and systematic adaptive feedback method for achieving lag projective stochastic perturbed synchronization of a new four-wing chaotic system with unknown parameters is presented. Moreover, a secure communication scheme based on the adaptive feedback lag projective synchronization of the new chaotic systems with stochastic perturbation and unknown parameters is presented. The simulation results show the feasibility of the proposed method.


Symmetry ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 1881 ◽  
Author(s):  
Nadia M. G. Al-Saidi ◽  
Dhurgham Younus ◽  
Hayder Natiq ◽  
M. R. K. Ariffin ◽  
M. A. Asbullah ◽  
...  

Using different chaotic systems in secure communication, nonlinear control, and many other applications has revealed that these systems have several drawbacks in different aspects. This can cause unfavorable effects to chaos-based applications. Therefore, presenting a chaotic map with complex behaviors is considered important. In this paper, we introduce a new 2D chaotic map, namely, the 2D infinite-collapse-Sine model (2D-ICSM). Various metrics including Lyapunov exponents and bifurcation diagrams are used to demonstrate the complex dynamics and robust hyperchaotic behavior of the 2D-ICSM. Furthermore, the cross-correlation coefficient, phase space diagram, and Sample Entropy algorithm prove that the 2D-ICSM has a high sensitivity to initial values and parameters, extreme complexity performance, and a much larger hyperchaotic range than existing maps. To empirically verify the efficiency and simplicity of the 2D-ICSM in practical applications, we propose a symmetric secure communication system using the 2D-ICSM. Experimental results are presented to demonstrate the validity of the proposed system.


2011 ◽  
Vol 255-260 ◽  
pp. 2242-2247
Author(s):  
Peng Cheng Wei ◽  
Wei Ran ◽  
Jun Jian Huang

A secure communication scheme based on piecewise linear chaotic system is proposed. Two Chaotic Systems are used in this algorithm, with a symbolic sequence generated by a Chaotic System the message sequence is tracked, employing the chaotic masking technique the message for transmitted is encrypted with a binary sequence extracted from another Chaotic System. The theoretic and experience results stated that the proposed algorithm has many properties such as high speed and easy implementing and high security and it is suitable for practical use in the secure communication.


2013 ◽  
Vol 68 (8-9) ◽  
pp. 573-580 ◽  
Author(s):  
Xing-Yuan Wang ◽  
Hao Zhang

This paper deals with the synchronization of spatiotemporal chaotic systems and presents a new robust secondary chaotic secure communication system for digital signal transmissions which can recover digital signal even though the transmitted signal is influenced by limited noise. The transmitter terminal and the receiver terminal both contain a spatiotemporal chaotic system and a hyperchaotic system. The asymptotic convergence of the errors between the states of the transmitter terminal and the receiver terminal has been proved based on the Lyapunov stable theory and active-passive decomposition (APD) method. Moreover, a random digital signal and a binary Lena image are encrypted and decrypted successfully to verify the efficiency of the proposed robust secure communication system.


2021 ◽  
Vol 15 (4) ◽  
pp. 54-78
Author(s):  
Shuru Liu ◽  
Zhanlei Shang ◽  
Junwei Lei

A definition of finite time synchronization of chaotic system was proposed, and a special theorem was proposed to solve the difficult problem of constructing a finite time stable system. After that, a hybrid construction method was proposed by integrating a common stable system and a finite time stable system. That reveals how to construct a finite time stable system, and it is very useful in secure communication since the convergence time is a very important factor that will affect its application in engineering realization. Above theorem and method was applied in the chaotic synchronization and two kinds of synchronization methods were proposed with estimation of unknown parameters. At last, a secure communication scheme was constructed by using above finite time synchronous method of chaotic systems. Also, numerical simulation was done, and the rightness of all the above proposed theorems and methods was shown.


2008 ◽  
Vol 18 (01) ◽  
pp. 235-243 ◽  
Author(s):  
RAFAEL MARTINEZ-GUERRA ◽  
WEN YU

Information signal embedded in a chaotic transmitter can be recovered by a receiver if it is a replica of the transmitter. In this paper, a new aspect of chaotic communication is introduced. A sliding-mode observer replaces the conventional chaotic system at the receiver side, which does not need information from the transmitter. So the uncertainties in the transmitter and the transmission line do not affect the synchronization, the proposed communication scheme is robust with respect to some disturbances and uncertainties. Three chaotic systems, Duffing equation, Van der Pol oscillator and Chua's circuit, are provided to illustrate the effectiveness of the chaotic communication.


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