Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient

Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient

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 tran...

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Main Authors: Shao-juan Ma, Duan Dong, Jie Zheng
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/981503
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spelling doaj-e5e12a1dd9684fcb9d0f64bb7702e6d82020-11-24T20:40:23ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/981503981503Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution CoefficientShao-juan Ma0Duan Dong1Jie Zheng2School of Information and Computation Science, Beifang University of Nationalities, Yinchuan 750021, ChinaSchool of Information and Computation Science, Beifang University of Nationalities, Yinchuan 750021, ChinaSchool of Information and Computation Science, Beifang University of Nationalities, Yinchuan 750021, ChinaThis 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.http://dx.doi.org/10.1155/2013/981503
collection DOAJ
language English
format Article
sources DOAJ
author Shao-juan Ma
Duan Dong
Jie Zheng
spellingShingle Shao-juan Ma
Duan Dong
Jie Zheng
Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient
Discrete Dynamics in Nature and Society
author_facet Shao-juan Ma
Duan Dong
Jie Zheng
author_sort Shao-juan Ma
title Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient
title_short Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient
title_full Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient
title_fullStr Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient
title_full_unstemmed Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient
title_sort generalized synchronization of stochastic discrete chaotic system with poisson distribution coefficient
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1155/2013/981503
work_keys_str_mv AT shaojuanma generalizedsynchronizationofstochasticdiscretechaoticsystemwithpoissondistributioncoefficient
AT duandong generalizedsynchronizationofstochasticdiscretechaoticsystemwithpoissondistributioncoefficient
AT jiezheng generalizedsynchronizationofstochasticdiscretechaoticsystemwithpoissondistributioncoefficient
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