Synchronization and phase synchronization of fractional differential chaotic system
Other Title(s)
التزامن و التزامن المرحلي لنظام تفاضلي كسري عشوائي
Dissertant
Thesis advisor
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2008
English Abstract
This thesis presents approximate numerical solutions for a nonlinear system of fractional differential equations using Mickens non-standard discretization method.
The fractional derivatives are considered in the Caputo sense.
The method is applied to the fractional Chaotic system.
The numerical results show that the approach is easy to implement and accurate when applied to systems of fractional differential equations.
The method introduces a promising tool for solving many linear and nonlinear fractional differentials.
Then we use this method to investigate the phase synchronization of fractional differential equations.
The current results are compared with those derived from the established Runge-Kutta method and it was shown that there is an excellent agreement between the two sets of the results.
The Mickens non-standard discretization method in this thesis can be widely implemented to solve linear and nonlinear systems of differential equations of fractional order.
Main Subjects
No. of Pages
54
Table of Contents
Table of contents.
Abstract.
Chapter one : Introduction.
Chapter two : Fundamentals of fractional calculus theory and mickens method.
Chapter three : Non-standard discretization scheme for nonlinear chaotic system.
Chapter four : Phase synchronization and conclusion.
References.
American Psychological Association (APA)
Maayah, Banan Sulayman. (2008). Synchronization and phase synchronization of fractional differential chaotic system. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-304542
Modern Language Association (MLA)
Maayah, Banan Sulayman. Synchronization and phase synchronization of fractional differential chaotic system. (Master's theses Theses and Dissertations Master). Mutah University. (2008).
https://search.emarefa.net/detail/BIM-304542
American Medical Association (AMA)
Maayah, Banan Sulayman. (2008). Synchronization and phase synchronization of fractional differential chaotic system. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-304542
Language
English
Data Type
Arab Theses
Record ID
BIM-304542
