Dynamics analysis and hybrid function projective synchronization of a new chaotic system

2012 ◽  
Vol 69 (4) ◽  
pp. 1979-1994 ◽  
Author(s):  
Xiangjun Wu ◽  
Shanzhi Li
Keyword(s):  
Chaotic System ◽  
Projective Synchronization ◽  
Dynamics Analysis ◽  
Function Projective Synchronization ◽  
New Chaotic System ◽  
Hybrid Function

THE HYBRID FUNCTION PROJECTIVE SYNCHRONIZATION OF CHAOTIC SYSTEMS

2009 ◽  
Vol 20 (05) ◽  
pp. 789-797
Author(s):  
YONG-GUANG YU ◽  
HAN-XIONG LI ◽  
JUN-ZHI YU
Keyword(s):  
Numerical Simulation ◽  
Lyapunov Stability ◽  
Chaotic Systems ◽  
Lyapunov Stability Theory ◽  
Adaptive Controller ◽  
Projective Synchronization ◽  
Function Projective Synchronization ◽  
Hybrid Function ◽  
Simulation Results ◽  
Different Chaotic Systems

This paper mainly investigated a hybrid function projective synchronization of two different chaotic systems. Based on the Lyapunov stability theory, an adaptive controller for the synchronization of two different chaotic systems is designed. This technique is applied to achieve the synchronization between Lorenz and Rössler chaotic systems, and the synchronization of hyperchaotic Rössler and Chen systems. The numerical simulation results illustrate the effectiveness and feasibility of the proposed scheme.

Adaptive Projective Synchronization of the New Three-Dimensional Chaotic System

2013 ◽  
Vol 321-324 ◽  
pp. 921-924 ◽  
Author(s):  
Su Hai Huang
Keyword(s):  
Chaotic System ◽  
Finite Time ◽  
Chaos Synchronization ◽  
Three Dimensional ◽  
Projective Synchronization ◽  
Time Stability ◽  
Finite Time Stability ◽  
Adaptive Technique ◽  
New Chaotic System ◽  
Synchronization Scheme

This paper deals with the finite-time chaos synchronization of the new chaotic system [with uncertain parameters. Based on the finite-time stability theory and adaptive technique, a controller has been designed to realize finite-time chaos projective synchronization and parameter identification. Moreover, numerical simulation result is included to demonstrate the effectiveness and feasibility of the proposed synchronization scheme.

A New Type of Function Projective Synchronization of Nonautonomous Chaotic System

2013 ◽  
Vol 705 ◽  
pp. 590-595
Author(s):  
Xiao Shan Zhao ◽  
Zhen Bo Li ◽  
Fang Fang Liu
Keyword(s):  
Numerical Simulation ◽  
Chaotic System ◽  
Scaling Function ◽  
Projective Synchronization ◽  
Function Projective Synchronization ◽  
State Variable ◽  
Gyroscope System ◽  
New Type ◽  
The Scaling Function ◽  
General Method

The function projective synchronization of nonautonomous chaotic system with a new type of scaling function is investigated. The scaling function factor discussed in this paper is a new kind of function which contains the state variable. Obviously, this kind of scaling function is complicated than former ones. Based on modified active control, the general method of this synchronization is proposed. In numerical simulation, the heavy symmetric gyroscope system is taken as the instance to demonstrate the validity of the controller and the feasibility of the proposed synchronization.

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