Study of dynamical properties and effective of a state u for hyperchaotic pan systems
Author
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 10, Issue 3 (31 Dec. 2013), pp.89-99, 11 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2013-12-31
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Information Technology and Computer Science
Abstract AR
في هذا البحث اقترحنا نظام جديد رباعي الأبعاد مستمر مستقل ذاتيا كثير الاضطراب تم بناءه بإضافة السيطرة الغير خطية على نظام Pan المضطرب ثلاثي الأبعاد.
تم تحليل النظام الجديد نظريا و عدديا بدراسة السلوك الديناميكي له متضمنا نقاط الاتزان، آسية ليبانوف، الاستقرارية و التشعب، كما تم دراسة الاستقرارية و التشعب و التناظر لنظام رباعي أخر مولد من قبل العالم Pan في (2011) من النظام الأصلي و قارنا بين النظامين و وجدنا الاختلاف بينهما، و أخيرا بينا تأثير المتغير u على النظامين.
Abstract EN
In this paper, we propose a new four-dimensional continuous autonomous hyperchaotic system which is built by adding a nonlinear controller to a threedimensional chaotic Pan system.
The new system is analyzed both theoretically and numerically by studying dynamical behaviors for this system, including equilibrium points, Lyapunov exponents, stability and bifurcation, also we study the stability, bifurcation and symmetry for another four dimensional system which is generated by Pan in (2011) from the original system, we compared between two systems and found the difference between them.
Finally, we show the effective of state u on the two systems.
American Psychological Association (APA)
al-Azzawi, Sad F.. 2013. Study of dynamical properties and effective of a state u for hyperchaotic pan systems. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 10, no. 3, pp.89-99.
https://search.emarefa.net/detail/BIM-342867
Modern Language Association (MLA)
al-Azzawi, Sad F.. Study of dynamical properties and effective of a state u for hyperchaotic pan systems. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 10, no. 3 (2013), pp.89-99.
https://search.emarefa.net/detail/BIM-342867
American Medical Association (AMA)
al-Azzawi, Sad F.. Study of dynamical properties and effective of a state u for hyperchaotic pan systems. al- Rafidain Journal of Computer Sciences and Mathematics. 2013. Vol. 10, no. 3, pp.89-99.
https://search.emarefa.net/detail/BIM-342867
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 99
Record ID
BIM-342867