A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points

A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points

A new 4D fractional-order chaotic system, which has an infinite number of equilibrium points, is introduced. There is no-chaotic behavior for its corresponded integer-order system. We obtain that the largest Lyapunov exponent of this 4D fractional-order chaotic system is 0.8939 and yield the chaotic...

Full description

Bibliographic Details
Main Authors: Ping Zhou, Kun Huang, Chun-de Yang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/910189
id doaj-c8aaacf88c694a088643f7704d13e4d4
record_format Article
spelling doaj-c8aaacf88c694a088643f7704d13e4d42020-11-24T23:37:48ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/910189910189A Fractional-Order Chaotic System with an Infinite Number of Equilibrium PointsPing Zhou0Kun Huang1Chun-de Yang2Center 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, ChinaCenter of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaA new 4D fractional-order chaotic system, which has an infinite number of equilibrium points, is introduced. There is no-chaotic behavior for its corresponded integer-order system. We obtain that the largest Lyapunov exponent of this 4D fractional-order chaotic system is 0.8939 and yield the chaotic attractor. A chaotic synchronization scheme is presented for this 4D fractional-order chaotic system. Numerical simulations is verified the effectiveness of the proposed scheme.http://dx.doi.org/10.1155/2013/910189
collection DOAJ
language English
format Article
sources DOAJ
author Ping Zhou
Kun Huang
Chun-de Yang
spellingShingle Ping Zhou
Kun Huang
Chun-de Yang
A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points
Discrete Dynamics in Nature and Society
author_facet Ping Zhou
Kun Huang
Chun-de Yang
author_sort Ping Zhou
title A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points
title_short A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points
title_full A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points
title_fullStr A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points
title_full_unstemmed A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points
title_sort fractional-order chaotic system with an infinite number of equilibrium points
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2013-01-01
description A new 4D fractional-order chaotic system, which has an infinite number of equilibrium points, is introduced. There is no-chaotic behavior for its corresponded integer-order system. We obtain that the largest Lyapunov exponent of this 4D fractional-order chaotic system is 0.8939 and yield the chaotic attractor. A chaotic synchronization scheme is presented for this 4D fractional-order chaotic system. Numerical simulations is verified the effectiveness of the proposed scheme.
url http://dx.doi.org/10.1155/2013/910189
work_keys_str_mv AT pingzhou afractionalorderchaoticsystemwithaninfinitenumberofequilibriumpoints
AT kunhuang afractionalorderchaoticsystemwithaninfinitenumberofequilibriumpoints
AT chundeyang afractionalorderchaoticsystemwithaninfinitenumberofequilibriumpoints
AT pingzhou fractionalorderchaoticsystemwithaninfinitenumberofequilibriumpoints
AT kunhuang fractionalorderchaoticsystemwithaninfinitenumberofequilibriumpoints
AT chundeyang fractionalorderchaoticsystemwithaninfinitenumberofequilibriumpoints
_version_ 1725519061214822400

Similar Items