Dynamics and bifurcation of higher order rational difference equations

Dissertant

Sharif, Asma

Thesis advisor

al-Uqayli, Marwan

Comitee Members

Ilayyan, Ala al-Din
Salih, Muhammad

University

Birzeit University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (West Bank)

Degree

Master

Degree Date

2017

English Abstract

The main goal of this Thesis is to study Neimark-Sacker bifurcation of higher order rational difference equations.

We study the third order equations Xn+1 = Xn + Xn−2 A + Xn−1 with positive parameters and non-negative initial conditions.

Moreover, we give details of dynamic behavior and direction of Neimark-Sacker bifurcation.

Also, we study the fourth order equation Xn+1 = Xn + Xn−3 A + Xn−1 with positive parameters and non-negative initial conditions.

We give details of dynamic behavior and direction of Neimark-Sacker bifurcation.

Finally we give some numerical results that show the solution, the dynamical behavior of each equation, and the phase portrait at the bifurcation value

Main Subjects

Mathematics

No. of Pages

81

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-779598