Solution of the van der pol oscillator equation by Laplace transform methods
Other Title(s)
حل معادلة متذبذب فان دربول باستخدام تحويلات لابلاس
Dissertant
Thesis advisor
Comitee Members
al-Wardat, Mashhur Ahmad Salamah
al-Uqayli, Amir Dakhil
al-Shar, Muhammad Abd al-Karim
University
Mutah University
Faculty
Faculty of Science
Department
Department of physics
University Country
Jordan
Degree
Master
Degree Date
2017
English Abstract
In this work , we studied Van der Pol Oscillator equation as an example of a nonlinear oscillator represented by second order differential equation.
First, we studied linear oscillators, and we applied Laplace Transforms and the boundary conditions to find the general solutions in the three cases of damping (critical damping,over damping and under damping),the results were plotted using mathmaticha 6.
Then we studied Van der Pol Oscillator as an example of a nonlinear oscillator, and we derivied it's equation.
Then by using Laplace Decomposition method we got approximate solution, which we plotted for different values of damping coefficient μ.
Then we found the exact sloution for fractional Van der Pol oscillator using fractional Laplace transform in the Caputo definition.
Acomparison between the classical solution and the fractional solution is presented by plotting their solutions using mathmaticha
Main Subjects
Topics
No. of Pages
86
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Mathmatical background.
Chapter Three : Theoretical study of van der pol oscillator.
Chapter Four : Exact solution for van der pol oscillator.
References.
American Psychological Association (APA)
al-Nawayisah, Jumanah Khalil. (2017). Solution of the van der pol oscillator equation by Laplace transform methods. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-749470
Modern Language Association (MLA)
al-Nawayisah, Jumanah Khalil. Solution of the van der pol oscillator equation by Laplace transform methods. (Master's theses Theses and Dissertations Master). Mutah University. (2017).
https://search.emarefa.net/detail/BIM-749470
American Medical Association (AMA)
al-Nawayisah, Jumanah Khalil. (2017). Solution of the van der pol oscillator equation by Laplace transform methods. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-749470
Language
English
Data Type
Arab Theses
Record ID
BIM-749470