The Model of Super-Chen Chaotic Scheme with Oscillating Parameters under the Impulsive Control

2011 ◽  
Vol 282-283 ◽  
pp. 608-611
Author(s):  
Ying Kui Li
Keyword(s):  
Chaotic System ◽  
Communication System ◽  
Secure Communication ◽  
Impulsive Control ◽  
Chaotic Synchronization ◽  
Control Signal ◽  
Control Methods ◽  
Security Risks ◽  
Two Systems ◽  
Synchronization Scheme

The control of chaotic synchronization is the kernel technology in chaos-based secure communication. Those control methods have to transmitting control signal which increase the security risks of the communication system. Attacker can reconstruct the chaotic system or estimate parameters by using the information of the chaotic system. In this paper we propose a hybrid Super Chen chaotic synchronization scheme control which contains both continuous chaotic system with oscillating parameters and discrete chaotic system. If oscillating parameters satisfyingwhen , we proved that two systems can get synchronized without control signal transmitting.

The Model of Liu Chaotic Synchronization with Oscillating Parameters under the Impulsive Control

2011 ◽  
Vol 480-481 ◽  
pp. 1378-1382
Author(s):  
Yan Hui Chen
Keyword(s):  
Chaotic System ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Impulsive Control ◽  
Impulsive Differential Equations ◽  
Chaotic Synchronization ◽  
Control Signal ◽  
Synchronization Control ◽  
Security Risks ◽  
Control Scheme

The control of chaotic synchronization is the kernel technology in chaos-based secure communication. Those control methods have to transmitting control signal which increase the security risks of the communication system. Attacker can reconstruct the chaotic system or estimate parameters by using the information of the chaotic system. In this paper we propose a hybrid Liu chaotic synchronization control scheme which contains both continuous chaotic system with oscillating parameters approach to 0 and discrete chaotic system. By theory of impulsive differential equations, we proved a theorem that two continuous Liu chaotic systems can get synchronized without control signal transmitting which has reduced the risk of the security.

A Novel Impulsive Control Synchronization of a Lorenz Chaotic Scheme with Special Parameters

2012 ◽  
Vol 466-467 ◽  
pp. 1305-1309
Author(s):  
Yan Hui Chen
Keyword(s):  
Chaotic System ◽  
Secure Communication ◽  
Impulsive Control ◽  
Chaotic Synchronization ◽  
Control Signal ◽  
Synchronization Control ◽  
Control Scheme ◽  
Two Systems ◽  
The Common ◽  
Common Problems

One of the common problems of chaos-based secure communication is all these methods need control signal be transmitted in public channel between connectors. Attacker can reconstruct the chaotic system or estimate parameters by using the information of the chaotic system which can be obtained by analyzing the control signal. Therefore we propose a hybrid chaotic synchronization control scheme which contains both continuous chaotic system with Special oscillating parameters and discrete chaotic system. The two systems can get synchronized without control signal transmitting which has reduced the risk of the security.

The Synchronization of Super-Chen Chaotic Scheme with a Sort of Oscillating Parameters

2011 ◽  
Vol 282-283 ◽  
pp. 612-615
Author(s):  
Ying Kui Li
Keyword(s):  
Chaotic System ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Chaotic Synchronization ◽  
Control Signal ◽  
Synchronization Control ◽  
Two Systems ◽  
Control And Synchronization ◽  
Synchronization Scheme

Most properties of Super Chen’s chaotic system satisfy with the requirements of secure communication and cryptography. Implusive stabilzation for control and synchronization of Super Chen’s chaotic systems can be applied in secure communication. Super Chen’s Chaotic synchronization control can be the kernel technology in chaos-based secure commu-nication. In this paper we propose a hybrid Super Chen chaotic synchronization scheme control which contains both continuous chaotic system with a sort of oscillating parameters and discrete chaotic system. If oscillating parameters approach to 0, we proved that two systems can get synchronized without control signal transmitting.

scholarly journals A New Fractional-Order Chaotic System with Its Analysis, Synchronization, and Circuit Realization for Secure Communication Applications

Mathematics ◽  
2021 ◽  
Vol 9 (20) ◽  
pp. 2593
Author(s):  
Zain-Aldeen S. A. Rahman ◽  
Basil H. Jasim ◽  
Yasir I. A. Al-Yasir ◽  
Yim-Fun Hu ◽  
Raed A. Abd-Alhameed ◽  
...  
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Real World ◽  
Communication System ◽  
Secure Communication ◽  
Communication Systems ◽  
Equilibrium Points ◽  
Lyapunov Theory ◽  
Uncertain Parameter ◽  
Real World Applications

This article presents a novel four-dimensional autonomous fractional-order chaotic system (FOCS) with multi-nonlinearity terms. Several dynamics, such as the chaotic attractors, equilibrium points, fractal dimension, Lyapunov exponent, and bifurcation diagrams of this new FOCS, are studied analytically and numerically. Adaptive control laws are derived based on Lyapunov theory to achieve chaos synchronization between two identical new FOCSs with an uncertain parameter. For these two identical FOCSs, one represents the master and the other is the slave. The uncertain parameter in the slave side was estimated corresponding to the equivalent master parameter. Next, this FOCS and its synchronization were realized by a feasible electronic circuit and tested using Multisim software. In addition, a microcontroller (Arduino Due) was used to implement the suggested system and the developed synchronization technique to demonstrate its digital applicability in real-world applications. Furthermore, based on the developed synchronization mechanism, a secure communication scheme was constructed. Finally, the security analysis metric tests were investigated through histograms and spectrograms analysis to confirm the security strength of the employed communication system. Numerical simulations demonstrate the validity and possibility of using this new FOCS in high-level security communication systems. Furthermore, the secure communication system is highly resistant to pirate attacks. A good agreement between simulation and experimental results is obtained, showing that the new FOCS can be used in real-world applications.

CHAOTIC SYNCHRONIZATION WITH LIMITED INFORMATION

2008 ◽  
Vol 18 (10) ◽  
pp. 3137-3145 ◽  
Author(s):  
GEXIA WANG ◽  
ZHIMING WANG ◽  
GUOPING LU
Keyword(s):  
Chaotic System ◽  
Communication Channel ◽  
Impulsive Control ◽  
Lipschitz Constant ◽  
Sampling Period ◽  
Chaotic Synchronization ◽  
Sampling Interval ◽  
Limited Capacity ◽  
Limited Information ◽  
Initial State

The problem of synchronization of two identically chaotic systems coupled through a limited capacity communication channel (LCCC) is addressed. Using the sampled and encoded information, an impulsive control designed is applied to the response system by resetting its initial state at the beginning of every sampling interval. It is shown that synchronization can be achieved based on the requirement imposed on the number of values taken by the coder, the sampling period and Lipschitz constant of the chaotic system. Based on this requirement, an explicit coder–decoder pair is proposed for chaotic synchronization via a LCCC. Finally, the numerical simulation for the Chua's chaotic system is shown to illustrate the obtained result.

scholarly journals A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Ping Zhou ◽  
Kun Huang ◽  
Chun-de Yang
Keyword(s):  
Lyapunov Exponent ◽  
Fractional Order ◽  
Chaotic System ◽  
Infinite Number ◽  
Chaotic Behavior ◽  
Equilibrium Points ◽  
Chaotic Synchronization ◽  
Order System ◽  
Largest Lyapunov Exponent ◽  
Synchronization Scheme

A new 4D fractional-order chaotic system, which has an infinite number of equilibrium points, is introduced. There is no-chaotic behavior for its corresponded integer-order system. We obtain that the largest Lyapunov exponent of this 4D fractional-order chaotic system is 0.8939 and yield the chaotic attractor. A chaotic synchronization scheme is presented for this 4D fractional-order chaotic system. Numerical simulations is verified the effectiveness of the proposed scheme.

SECURE COMMUNICATIONS VIA CHAOTIC SYNCHRONIZATION II: NOISE REDUCTION BY CASCADING TWO IDENTICAL RECEIVERS

1993 ◽  
Vol 03 (05) ◽  
pp. 1319-1325 ◽  
Author(s):  
RENÉ LOZI ◽  
LEON O. CHUA
Keyword(s):  
Noise Reduction ◽  
Communication System ◽  
Secure Communication ◽  
Computer Experiments ◽  
Original System ◽  
Chaotic Synchronization ◽  
Secure Communications ◽  
Original Message

The signal recovered from the first reported experimental secure communication system via chaotic synchronization contains some inevitable noise which degrades the fidelity of the original message. In this letter we show by computer experiments that this noise can be significantly reduced by cascading the output of the receiver in the original system into an identical copy of this receiver.

Sign in / Sign up

Export Citation Format

Share Document