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

al-Badarinah, Anwar Ali

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

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

Mathematics

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