Bifurcation analysis of applied dynamical models
Dissertant
Thesis advisor
Comitee Members
Salih, Muhammad
al-Ayyan, Ala al-Din
University
Birzeit University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (West Bank)
Degree
Master
Degree Date
2014
English Abstract
Bifurcation appears in models in di erent elds such as biology, economics, .
.
.
etc.
In this thesis we study the bifurcation in discrete-time dynamical system in one and two dimensions, we consider the sucient conditions for the existence of the di erent types of bifurcation.
We study bifurcation in logistic competition and predator-prey models.
Also we draw bifurcation diagrams using Matlab 7:12.
Main Subjects
No. of Pages
99
Table of Contents
Table of contents.
Abstract.
Chapter One : Introduction.
Chapter Two : Preliminaries.
Chapter Three : Bifurcation of one-dimensional maps.
Chapter Four : Bifurcation of two-dimensional maps.
Chapter Five : Bifurcation of logistic competition model.
Chapter Six : Analysis of discrete-time predator-prey system.
Chapter Seven : Bifurcation analysis a population model.
References.
American Psychological Association (APA)
al-Barmil, Amal. (2014). Bifurcation analysis of applied dynamical models. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-620094
Modern Language Association (MLA)
al-Barmil, Amal. Bifurcation analysis of applied dynamical models. (Master's theses Theses and Dissertations Master). Birzeit University. (2014).
https://search.emarefa.net/detail/BIM-620094
American Medical Association (AMA)
al-Barmil, Amal. (2014). Bifurcation analysis of applied dynamical models. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-620094
Language
English
Data Type
Arab Theses
Record ID
BIM-620094