On the asymptotic behavior of discrete dynamical systems using bi-shadowing properties
Other Title(s)
السلوك التقاربي للأنظمة الديناميكية المتقطعة باستخدام خصائص الظل الثنائية
Dissertant
al-Khatatinah, Usamah Abd al-Wahhab Ahmad
Thesis advisor
Comitee Members
Kasasibah, Faysal Muhammad
al-Udayli, Usamah Hasan Husayn
al-Banawi, Kamal Ata Allah Salih
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2016
Arabic Abstract
في هذه الأطروحة، نقوم بدراسة الخصائص التقاربية للأنظمة الديناميكية المتقطعة والمتولدة من اقترانات متصلة ومعرفة على نظام متري.
بشكل خاص، أثبتنا أنه إذا كان النظام يحقق خاصية الظل، فأن أي نظام مترافق له يحقق نفس الخاصية ونبحث أيضا علاقة خاصية الظل بين النظام الضربي والأنظمة الجزئية منه.
كما قمنا بتعميم هذه النتائج للخاصية ثنائية الظل للأنظمة الديناميكية تحت شروط معينة.
English Abstract
In this thesis, we study the asymptotic properties of discrete dynamical systems given by a continuous mappings on a metric space.
In particular, we show that if a system has the shadowing property, then any system conjugated with it has the same property.
Also, we investigate the relationship of shadowing property between the product system and its subsystems.
We generalize these results in the context of bi-shadowing property for dynamical system under certain conditions
Main Subjects
No. of Pages
36
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Basic properties of dynamical systems.
Chapter Three : Bi-shadowing properties of discrete systems.
Chapter Four : Conclusions and recommendations.
References.
American Psychological Association (APA)
al-Khatatinah, Usamah Abd al-Wahhab Ahmad. (2016). On the asymptotic behavior of discrete dynamical systems using bi-shadowing properties. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-731521
Modern Language Association (MLA)
al-Khatatinah, Usamah Abd al-Wahhab Ahmad. On the asymptotic behavior of discrete dynamical systems using bi-shadowing properties. (Master's theses Theses and Dissertations Master). Mutah University. (2016).
https://search.emarefa.net/detail/BIM-731521
American Medical Association (AMA)
al-Khatatinah, Usamah Abd al-Wahhab Ahmad. (2016). On the asymptotic behavior of discrete dynamical systems using bi-shadowing properties. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-731521
Language
English
Data Type
Arab Theses
Record ID
BIM-731521