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Ordinary differential equations and dynamic systems Description

Key Elements

Code

MATH 411

Formation

M1 Mathematics

Semester

2

Credits

6

Number of Teaching Hours

36

Number of Tutoring Sessions

24

Number of Laboratory Sessions

0

This course is optional

Content

Objective

Content

This subject aims to introduce an efficient method for solving linear system of ordinary differential equations (ODE). The qualitative theory of ODE will be introduced as well as the study of the phase plane analysis. Linearization of nonlinear system will be carefully Hart man-Grobman theorem studied and local and global stability and unstability as well. Limit sets and limit cycles, Lasalle’s invariance principal, strange attractors and bifurcation theory will be presented. The Poincare-Bendixon theorem and the Liapunov stability theorem will be studied also.