Hybrid Projective Synchronization for Two Identical Fractional-Order Chaotic Systems

Hybrid Projective Synchronization for Two Identical Fractional-Order Chaotic Systems

A hybrid projective synchronization scheme for two identical fractional-order chaotic systems is proposed in this paper. Based on the stability theory of fractional-order systems, a controller for the synchronization of two identical fractional-order chaotic systems is designed. This synchronization...

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Main Authors: Ping Zhou, Rui Ding, Yu-xia Cao
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/768587
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spelling doaj-587c7b67ffa14723ae7a8e1ca3b6c5ee2020-11-25T00:42:27ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/768587768587Hybrid Projective Synchronization for Two Identical Fractional-Order Chaotic SystemsPing Zhou0Rui Ding1Yu-xia Cao2Research Center for System Theory and Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaKey Laboratory of Industrial Internet of Things & Networked Control of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaKey Laboratory of Industrial Internet of Things & Networked Control of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaA hybrid projective synchronization scheme for two identical fractional-order chaotic systems is proposed in this paper. Based on the stability theory of fractional-order systems, a controller for the synchronization of two identical fractional-order chaotic systems is designed. This synchronization scheme needs not to absorb all the nonlinear terms of response system. Hybrid projective synchronization for the fractional-order Chen chaotic system and hybrid projective synchronization for the fractional-order hyperchaotic Lu system are used to demonstrate the validity and feasibility of the proposed scheme.http://dx.doi.org/10.1155/2012/768587
collection DOAJ
language English
format Article
sources DOAJ
author Ping Zhou
Rui Ding
Yu-xia Cao
spellingShingle Ping Zhou
Rui Ding
Yu-xia Cao
Hybrid Projective Synchronization for Two Identical Fractional-Order Chaotic Systems
Discrete Dynamics in Nature and Society
author_facet Ping Zhou
Rui Ding
Yu-xia Cao
author_sort Ping Zhou
title Hybrid Projective Synchronization for Two Identical Fractional-Order Chaotic Systems
title_short Hybrid Projective Synchronization for Two Identical Fractional-Order Chaotic Systems
title_full Hybrid Projective Synchronization for Two Identical Fractional-Order Chaotic Systems
title_fullStr Hybrid Projective Synchronization for Two Identical Fractional-Order Chaotic Systems
title_full_unstemmed Hybrid Projective Synchronization for Two Identical Fractional-Order Chaotic Systems
title_sort hybrid projective synchronization for two identical fractional-order chaotic systems
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2012-01-01
description A hybrid projective synchronization scheme for two identical fractional-order chaotic systems is proposed in this paper. Based on the stability theory of fractional-order systems, a controller for the synchronization of two identical fractional-order chaotic systems is designed. This synchronization scheme needs not to absorb all the nonlinear terms of response system. Hybrid projective synchronization for the fractional-order Chen chaotic system and hybrid projective synchronization for the fractional-order hyperchaotic Lu system are used to demonstrate the validity and feasibility of the proposed scheme.
url http://dx.doi.org/10.1155/2012/768587
work_keys_str_mv AT pingzhou hybridprojectivesynchronizationfortwoidenticalfractionalorderchaoticsystems
AT ruiding hybridprojectivesynchronizationfortwoidenticalfractionalorderchaoticsystems
AT yuxiacao hybridprojectivesynchronizationfortwoidenticalfractionalorderchaoticsystems
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