Using Δ - Discriminate Method to Determine the Stability and Bifurcation of Chen Chaotic System

The aim of this paper to found that the stability and bifurcation of Chen System by using a new method which called - discriminate method as will as we found the stability at the second critical point by another method, and we showed that the new method depended on the roots to determent  the stabil...

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Main Authors: Saad AL-Azzawi, Karam Abed
Format: Article
Language:English
Published: Mosul University 2011-12-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
Online Access:https://csmj.mosuljournals.com/article_163646_f05a5c1d9af6ffa2e5077cd95dbc3907.pdf
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author Saad AL-Azzawi
Karam Abed
author_facet Saad AL-Azzawi
Karam Abed
author_sort Saad AL-Azzawi
collection DOAJ
description The aim of this paper to found that the stability and bifurcation of Chen System by using a new method which called - discriminate method as will as we found the stability at the second critical point by another method, and we showed that the new method depended on the roots to determent  the stability and bifurcation of this system while the previous methods depended on the parameters , also we showed the method which used to find the stability at the second critical point depended on the critical value  and parameter . Finally, we get the same previous results but easily method.
format Article
id doaj-art-f37c630bd13f4785acecf59747edb62a
institution OA Journals
issn 1815-4816
2311-7990
language English
publishDate 2011-12-01
publisher Mosul University
record_format Article
series Al-Rafidain Journal of Computer Sciences and Mathematics
spelling doaj-art-f37c630bd13f4785acecf59747edb62a2025-08-20T02:13:45ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902011-12-018211112210.33899/csmj.2011.163646163646Using Δ - Discriminate Method to Determine the Stability and Bifurcation of Chen Chaotic SystemSaad AL-Azzawi0Karam Abed1Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, IraqDar Ibn Al-Atheer for Printing and Publisher, University of Mosul, Mosul,The aim of this paper to found that the stability and bifurcation of Chen System by using a new method which called - discriminate method as will as we found the stability at the second critical point by another method, and we showed that the new method depended on the roots to determent  the stability and bifurcation of this system while the previous methods depended on the parameters , also we showed the method which used to find the stability at the second critical point depended on the critical value  and parameter . Finally, we get the same previous results but easily method.https://csmj.mosuljournals.com/article_163646_f05a5c1d9af6ffa2e5077cd95dbc3907.pdfchen systemstabilitybifurcation- discriminaterouth-hurwitz
spellingShingle Saad AL-Azzawi
Karam Abed
Using Δ - Discriminate Method to Determine the Stability and Bifurcation of Chen Chaotic System
Al-Rafidain Journal of Computer Sciences and Mathematics
chen system
stability
bifurcation
- discriminate
routh-hurwitz
title Using Δ - Discriminate Method to Determine the Stability and Bifurcation of Chen Chaotic System
title_full Using Δ - Discriminate Method to Determine the Stability and Bifurcation of Chen Chaotic System
title_fullStr Using Δ - Discriminate Method to Determine the Stability and Bifurcation of Chen Chaotic System
title_full_unstemmed Using Δ - Discriminate Method to Determine the Stability and Bifurcation of Chen Chaotic System
title_short Using Δ - Discriminate Method to Determine the Stability and Bifurcation of Chen Chaotic System
title_sort using δ discriminate method to determine the stability and bifurcation of chen chaotic system
topic chen system
stability
bifurcation
- discriminate
routh-hurwitz
url https://csmj.mosuljournals.com/article_163646_f05a5c1d9af6ffa2e5077cd95dbc3907.pdf
work_keys_str_mv AT saadalazzawi usingddiscriminatemethodtodeterminethestabilityandbifurcationofchenchaoticsystem
AT karamabed usingddiscriminatemethodtodeterminethestabilityandbifurcationofchenchaoticsystem