A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems

A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems

An adaptive hybrid function projective synchronization (AHFPS) scheme between different fractional-order chaotic systems with uncertain system parameter is addressed in this paper. In this proposed scheme, the drive and response system could be synchronized up to a vector function factor. This propo...

Full description

Bibliographic Details
Main Authors: Ping Zhou, Xiao-You Yang
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2011/496846
id doaj-badecdf74f9c47b0973592a627d075e8
record_format Article
spelling doaj-badecdf74f9c47b0973592a627d075e82020-11-25T01:10:25ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/496846496846A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic SystemsPing Zhou0Xiao-You Yang1Center of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaKey Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaAn adaptive hybrid function projective synchronization (AHFPS) scheme between different fractional-order chaotic systems with uncertain system parameter is addressed in this paper. In this proposed scheme, the drive and response system could be synchronized up to a vector function factor. This proposed scheme is different with the function projective synchronization (FPS) scheme, in which the drive and response system could be synchronized up to a scaling function factor. The adaptive controller and the parameter update law are gained. Two examples are presented to demonstrate the effectiveness of the proposed scheme.http://dx.doi.org/10.1155/2011/496846
collection DOAJ
language English
format Article
sources DOAJ
author Ping Zhou
Xiao-You Yang
spellingShingle Ping Zhou
Xiao-You Yang
A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems
Discrete Dynamics in Nature and Society
author_facet Ping Zhou
Xiao-You Yang
author_sort Ping Zhou
title A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems
title_short A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems
title_full A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems
title_fullStr A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems
title_full_unstemmed A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems
title_sort novel hybrid function projective synchronization between different fractional-order chaotic systems
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2011-01-01
description An adaptive hybrid function projective synchronization (AHFPS) scheme between different fractional-order chaotic systems with uncertain system parameter is addressed in this paper. In this proposed scheme, the drive and response system could be synchronized up to a vector function factor. This proposed scheme is different with the function projective synchronization (FPS) scheme, in which the drive and response system could be synchronized up to a scaling function factor. The adaptive controller and the parameter update law are gained. Two examples are presented to demonstrate the effectiveness of the proposed scheme.
url http://dx.doi.org/10.1155/2011/496846
work_keys_str_mv AT pingzhou anovelhybridfunctionprojectivesynchronizationbetweendifferentfractionalorderchaoticsystems
AT xiaoyouyang anovelhybridfunctionprojectivesynchronizationbetweendifferentfractionalorderchaoticsystems
AT pingzhou novelhybridfunctionprojectivesynchronizationbetweendifferentfractionalorderchaoticsystems
AT xiaoyouyang novelhybridfunctionprojectivesynchronizationbetweendifferentfractionalorderchaoticsystems
_version_ 1725174887669039104

Similar Items