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,   )  (1تـــــم 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