The Proposed Modified Liu System with Fractional Order

The chaos in a new system with order 3 is studied. We have shown that this chaotic system again will be chaotic when the order of system is less than 3. Generalized Adams-Bashforth algorithm has been used for investigating in stability of fixed points and existence of chaos.

Saved in:
Bibliographic Details
Main Authors: Alireza K. Golmankhaneh, Roohiyeh Arefi, Dumitru Baleanu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2013/186037
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832554039674404864
author Alireza K. Golmankhaneh
Roohiyeh Arefi
Dumitru Baleanu
author_facet Alireza K. Golmankhaneh
Roohiyeh Arefi
Dumitru Baleanu
author_sort Alireza K. Golmankhaneh
collection DOAJ
description The chaos in a new system with order 3 is studied. We have shown that this chaotic system again will be chaotic when the order of system is less than 3. Generalized Adams-Bashforth algorithm has been used for investigating in stability of fixed points and existence of chaos.
format Article
id doaj-art-c123a53a1e0a4351a4f9344cfd975de2
institution Kabale University
issn 1687-9120
1687-9139
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-c123a53a1e0a4351a4f9344cfd975de22025-02-03T05:52:36ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/186037186037The Proposed Modified Liu System with Fractional OrderAlireza K. Golmankhaneh0Roohiyeh Arefi1Dumitru Baleanu2Department of Physics, Urmia Branch, Islamic Azad University, P.O. Box 969, Oromiyeh, IranDepartment of Physics, Urmia Branch, Islamic Azad University, P.O. Box 969, Oromiyeh, IranDepartment of Mathematics and Computer Science, Çankaya University, 06530 Ankara, TurkeyThe chaos in a new system with order 3 is studied. We have shown that this chaotic system again will be chaotic when the order of system is less than 3. Generalized Adams-Bashforth algorithm has been used for investigating in stability of fixed points and existence of chaos.http://dx.doi.org/10.1155/2013/186037
spellingShingle Alireza K. Golmankhaneh
Roohiyeh Arefi
Dumitru Baleanu
The Proposed Modified Liu System with Fractional Order
Advances in Mathematical Physics
title The Proposed Modified Liu System with Fractional Order
title_full The Proposed Modified Liu System with Fractional Order
title_fullStr The Proposed Modified Liu System with Fractional Order
title_full_unstemmed The Proposed Modified Liu System with Fractional Order
title_short The Proposed Modified Liu System with Fractional Order
title_sort proposed modified liu system with fractional order
url http://dx.doi.org/10.1155/2013/186037
work_keys_str_mv AT alirezakgolmankhaneh theproposedmodifiedliusystemwithfractionalorder
AT roohiyeharefi theproposedmodifiedliusystemwithfractionalorder
AT dumitrubaleanu theproposedmodifiedliusystemwithfractionalorder
AT alirezakgolmankhaneh proposedmodifiedliusystemwithfractionalorder
AT roohiyeharefi proposedmodifiedliusystemwithfractionalorder
AT dumitrubaleanu proposedmodifiedliusystemwithfractionalorder