Stability of chaotic and hyperchaotic finance systems
Joint Authors
Hammudat, Ala Abd al-Rahim
Jumah, Ahmad Muhammad
Source
al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah
Issue
Vol. 26, Issue 4 (31 Dec. 2013), pp.97-106, 10 p.
Publisher
University of Mosul College of Education for Pure Science
Publication Date
2013-12-31
Country of Publication
Iraq
No. of Pages
10
Main Subjects
Financial and Accounting Sciences
Topics
Abstract AR
فــي هــذا البحــث قــدمنا دراســة لنظــام مــضطرب (كثیــر الاضــطراب) مــستقل ذاتــي ثلاثــي (ربــاعي) الأبعــاد هــو نظــام فینــانس، و حــصلنا علــى اســتقراریة لهــذا النظــام، إذ تبــین بــان النظــام 1 a المـضطرب (الثلاثـي) یكـون مـستقر عنـد نقطتیـه الحـرجتین عنـدما یكـون قیمـة المتغیـر.
و غیر مستقر ما عدا ذلك.
أما النظـام كثیـر الاضـطراب (الربـاعي) فقـد اسـتنتجنا انـه یكـون مـستقر d a b d c a d بالــــشكل المتغیــــرات تكــــون عنــــدما 2 1,, 0, 0, ) (1تـــــم و أخیــــرا .
إعطاء أمثلة توضیحیة لكلا النظامین.
Abstract EN
In this paper, a three (four) dimensional autonomous Finance chaotic (hyperchaotic) system is considered, and we obtained the stability of this systems.
We show that the chaotic (three dimensional) system is asymptotically stable at the critical points when 0 a 1, and unstable otherways.
While the hyperchaotic (four dimensional) system is asymptotically stable if the variables has the form (1 d) a 0,b 0,d 1,,c a2d .
Finally, illustrative examples are given.
American Psychological Association (APA)
Jumah, Ahmad Muhammad& Hammudat, Ala Abd al-Rahim. 2013. Stability of chaotic and hyperchaotic finance systems. al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah،Vol. 26, no. 4, pp.97-106.
https://search.emarefa.net/detail/BIM-621890
Modern Language Association (MLA)
Jumah, Ahmad Muhammad& Hammudat, Ala Abd al-Rahim. Stability of chaotic and hyperchaotic finance systems. al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah Vol. 26, no. 4 (Dec. 2013), pp.97-106.
https://search.emarefa.net/detail/BIM-621890
American Medical Association (AMA)
Jumah, Ahmad Muhammad& Hammudat, Ala Abd al-Rahim. Stability of chaotic and hyperchaotic finance systems. al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah. 2013. Vol. 26, no. 4, pp.97-106.
https://search.emarefa.net/detail/BIM-621890
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 105-106
Record ID
BIM-621890