Synchronization and phase synchronization of fractional differential chaotic system

العناوين الأخرى

التزامن و التزامن المرحلي لنظام تفاضلي كسري عشوائي

مقدم أطروحة جامعية

Maayah, Banan Sulayman

مشرف أطروحة جامعية

al-Mumani, Shahir Muhammad

الجامعة

جامعة مؤتة

الكلية

كلية العلوم

القسم الأكاديمي

قسم الرياضيات و الإحصاء

دولة الجامعة

الأردن

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2008

الملخص الإنجليزي

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.

التخصصات الرئيسية

الرياضيات

عدد الصفحات

54

قائمة المحتويات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-304542