Impulsive generalized synchronization of chaotic system

2007 ◽  
Vol 16 (7) ◽  
pp. 1912-1917 ◽  
Author(s):  
Zhang Rong ◽  
Xu Zhen-Yuan ◽  
He Xue-Ming
Keyword(s):  
Chaotic System ◽  
Generalized Synchronization

GENERALIZED SYNCHRONIZATION IN DOUBLY DRIVEN CHAOTIC SYSTEM

2006 ◽  
Vol 20 (24) ◽  
pp. 3477-3485
Author(s):  
XIA HUANG ◽  
JIAN GAO ◽  
DAIHAI HE ◽  
ZHIGANG ZHENG
Keyword(s):  
Chaotic System ◽  
Conditional Entropy ◽  
Chaotic Oscillator ◽  
Generalized Synchronization ◽  
Entropy Analysis ◽  
Entropy Spectrum ◽  
Chaotic Signals ◽  
Coupling Strengths ◽  
Conventional Methods ◽  
Parameter Values

Generalized synchronization (GS) of a chaotic oscillator driven by two chaotic signals is investigated in this paper. Both receiver and drivers are the same kind of oscillators with mismatched parameter values. Partial and global GS may appear depending on coupling strengths. An approach based on the conditional entropy analysis is presented to test the partial GS, which is difficult to determine with conventional methods. A trough in conditional entropy spectrum indicates partial GS between the receiver and one of the drivers.

scholarly journals Experimental study of generalized synchronization of a time-delay chaotic system

2010 ◽  
Vol 59 (4) ◽  
pp. 2281
Author(s):  
Chen Ju-Fang ◽  
Tian Xiao-Jian ◽  
Shan Jiang-Dong
Keyword(s):  
Experimental Study ◽  
Time Delay ◽  
Chaotic System ◽  
Generalized Synchronization ◽  
Delay Chaotic System

scholarly journals Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Shao-juan Ma ◽  
Duan Dong ◽  
Jie Zheng
Keyword(s):  
Distribution Coefficient ◽  
Poisson Distribution ◽  
Chaotic System ◽  
Random Parameter ◽  
Lyapunov Stability Theory ◽  
Deterministic System ◽  
Generalized Synchronization ◽  
Control Scheme ◽  
Contraction Theorem ◽  
General Method

This paper addresses the generalized synchronization of stochastic discrete chaotic systems with Poisson distribution coefficient. Firstly, based on the orthogonal polynomial approximation theory of discrete random function in Hilbert spaces, the discrete chaotic system with random parameter is transformed into its equivalent deterministic system. Secondly, a general method for the generalized synchronization of discrete chaotic system with random parameter is presented by Lyapunov stability theory and contraction theorem. Finally, two synchronization examples numerically illustrated that the proposed control scheme is effective for any stochastic discrete system.

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