Limit cycles of lorenz system with hopf bifurcation
Joint Authors
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 5, Issue 1 (30 Jun. 2008), pp.81-99, 19 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2008-06-30
Country of Publication
Iraq
No. of Pages
19
Main Subjects
Abstract AR
نبرهن في هذا البحث على بأن نظام (Lorenz) له دارة غائية غير مستقرة بالقرب من نقطة التفرع.
و نستخدم في التحليل طريقة نظرية التفرع الموقعي و بالأخص manifold center و Normal form.
تم استخدام النظام الجبري الذي يتعامل مع الرموز و تم تنفيذها على الحاسبة بواسطة لغة Maple لاشتقاق جميع الصيغ و لإثبات النتائج المقدمة في هذا البحث.
Abstract EN
We prove that near the bifurcation point unstable limit cycle arises from the Lorenz system.
In the analysis, we use the method of local bifurcation theory, especially the center manifold and the normal form theorem.
A computer algebra system using Maple to derive all the formulas and verify the results presented in this paper.
American Psychological Association (APA)
Amin, Azad I.& Salih, Rizjar H.. 2008. Limit cycles of lorenz system with hopf bifurcation. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 5, no. 1, pp.81-99.
https://search.emarefa.net/detail/BIM-332622
Modern Language Association (MLA)
Amin, Azad I.& Salih, Rizjar H.. Limit cycles of lorenz system with hopf bifurcation. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 5, no. 1 (2008), pp.81-99.
https://search.emarefa.net/detail/BIM-332622
American Medical Association (AMA)
Amin, Azad I.& Salih, Rizjar H.. Limit cycles of lorenz system with hopf bifurcation. al- Rafidain Journal of Computer Sciences and Mathematics. 2008. Vol. 5, no. 1, pp.81-99.
https://search.emarefa.net/detail/BIM-332622
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 98-99
Record ID
BIM-332622
