Three-mode bifurcation of extremals in the analysis of bifurcation solutions of sixth order differential equation
Author
Source
Journal of College of Education for Pure Sciences
Issue
Vol. 4, Issue 2 (30 Jun. 2014), pp.149-162, 14 p.
Publisher
University of Thi-Qar College of Education for Pure Sciences
Publication Date
2014-06-30
Country of Publication
Iraq
No. of Pages
14
Main Subjects
Topics
Abstract AR
قدمنا في هذا البحث دراسة حلول التفرع لمعادلة الموجة للأنابيب المرنة الغير خطية من الدرجة السادسة بالاعتماد على أساس المرونة باستخدام طريقة ليايبونوف-شمدت المحلية في الحالة المتغايرة.
تم أيجاد الصيغة القياسية للدالة الأساسية المقابلة للدالي.
كذلك تم إيجاد وصف هندسي جديد للمجموعة المميزة (مخطط التفرع) مع توزيع كامل للنقاط الحرجة في المناطق المتممة للمجموعة المميزة.
Abstract EN
In this paper we are interested in the study of bifurcation solutions of nonlinear wave equation of sixth order of elastic beams on elastic foundations by using local method of Lyapunov-Schmidt.
The normal form of the key function corresponding to the functional related to this equation has been found.
Also, it was found a new geometrical description of caustic with bifurcation spreading of the critical points.
American Psychological Association (APA)
Kazim, Husayn K.. 2014. Three-mode bifurcation of extremals in the analysis of bifurcation solutions of sixth order differential equation. Journal of College of Education for Pure Sciences،Vol. 4, no. 2, pp.149-162.
https://search.emarefa.net/detail/BIM-411900
Modern Language Association (MLA)
Kazim, Husayn K.. Three-mode bifurcation of extremals in the analysis of bifurcation solutions of sixth order differential equation. Journal of College of Education for Pure Sciences Vol. 4, no. 2 (2014), pp.149-162.
https://search.emarefa.net/detail/BIM-411900
American Medical Association (AMA)
Kazim, Husayn K.. Three-mode bifurcation of extremals in the analysis of bifurcation solutions of sixth order differential equation. Journal of College of Education for Pure Sciences. 2014. Vol. 4, no. 2, pp.149-162.
https://search.emarefa.net/detail/BIM-411900
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 162
Record ID
BIM-411900