A survey of chaotic synchronization and secure communication

The concept of practical synchronization is introduced and the chaos synchronization of master-slave chaotic systems with uncertain input nonlinearities is investigated. Based on the differential and integral inequalities (DII) approach, a simple linear control is proposed to realize practical synchronization for master-slave chaotic systems with uncertain input nonlinearities. Besides, the guaranteed exponential convergence rate can be prespecified. Applications of proposed master-slave chaotic synchronization technique to secure communication as well as several numerical simulations are given to demonstrate the feasibility and effectiveness of the obtained result.

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

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.480-481.1378 ◽

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.

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Hybrid Synchronization Between 5-th Order Hyperchaotic Chua Systems

Information Technologies and Control ◽

10.1515/itc-2016-0008 ◽

2015 ◽

Vol 13 (1-2) ◽

pp. 25-34

Author(s):

Dragomir Chantov

Keyword(s):

Active Control ◽

Secure Communication ◽

Chaotic Systems ◽

Lyapunov Method ◽

Chaotic Synchronization ◽

Synchronization System ◽

Hybrid Synchronization ◽

The Stability ◽

Chaotic Secure Communication ◽

Fifth Order

Abstract The aim of this paper is the design of a chaotic synchronization system with a special type of synchronization, called hybrid synchronization, on the basis of Chua’s fifth-order hyperchaotic model. When two chaotic systems are in hybrid synchronization, some of the systems’ variables pairs are in identical synchronization, and the rest are anti-synchronized. Hybrid synchronization schemes have advantages regarding the degree of signal protection, when they are used to build a chaotic secure communication system. The design of the system is accomplished by means of active control, where the Second Lyapunov method is used to prove the stability of the synchronization system.

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