Circuit implementation and finite-time synchronization of the 4D Rabinovich hyperchaotic system

2011 ◽  
Vol 67 (1) ◽  
pp. 89-96 ◽  
Author(s):  
Yongjian Liu
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Hyperchaotic System ◽  
Circuit Implementation

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.

scholarly journals Finite-Time Adaptive Synchronization of a New Hyperchaotic System with Uncertain Parameters

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Ma Yongguang ◽  
Dong Zijian
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Adaptive Synchronization ◽  
Control Law ◽  
Hyperchaotic System ◽  
Finite Time Stability ◽  
Synchronization Scheme ◽  
New Hyperchaotic System ◽  
Hyperchaotic Systems ◽  
Adaptive Control Law

This paper presents a finite-time adaptive synchronization strategy for a class of new hyperchaotic systems with unknown slave system’s parameters. Based on the finite-time stability theory, an adaptive control law is derived to make the states of the new hyperchaotic systems synchronized in finite-time. Numerical simulations are presented to show the effectiveness of the proposed finite time synchronization scheme.

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