A study on HOPF bifurcation
Other Title(s)
دراسة عن تشعب هوبف
Dissertant
Thesis advisor
Comitee Members
Awawidah, Fadi Abd Allah
Jaradat, Husayn Mahmud
al-Shar, Safwan
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2012
English Abstract
In this thesis, we have presented a study of bifurcations of differential equations and difference equations, in particular the complexity of the Hopf and we apply the methods of the solution to such a graph of the equations near the bifurcation point.
We will improve the theoretical.
Methods for detecting bifurcations and Hopf bifurcation in particular, calculate the solutions in such cases.
In this thesis we will use the software (Mathematica) and (Matlab) and (Scientific Workplace) to find and draw solutions of equation.
We note that bifurcations result as we change a parameter in the differential equations.
We illustrate here the change of behavior of solutions near the bifurcation points.
Main Subjects
No. of Pages
105
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : general concepts and definitions.
Chapter Two : HOPF bifurcation and periodic solutions.
Chapter Three : the normal form of the HOPF bifurcation and HOPF bifurcation theorem.
Chapter Four : the van der pol oscillator and other examples.
References.
American Psychological Association (APA)
Bani Khalid, Khalid Muhammad. (2012). A study on HOPF bifurcation. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321295
Modern Language Association (MLA)
Bani Khalid, Khalid Muhammad. A study on HOPF bifurcation. (Master's theses Theses and Dissertations Master). Al albayt University. (2012).
https://search.emarefa.net/detail/BIM-321295
American Medical Association (AMA)
Bani Khalid, Khalid Muhammad. (2012). A study on HOPF bifurcation. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-321295
Language
English
Data Type
Arab Theses
Record ID
BIM-321295
