Language of Instruction

English

Level of Course Unit

First Cycle

Department / Program

MATHEMATICS

Mode of Delivery

Face to Face

Type of Course Unit

Elective

Objectives of the Course

To learn the fundemantal concepts about the dynamical systems

Course Content

Onedimensional dynamical systems, fixed points and their stabilities. Population growth model, Linear Stability analysis, Existence and Uniqueness of differential equations. Potential functions. Bifurcations, Two dimensional dynamical systems, classification of linear systems, Phase plane, fixed points and linearization, conservative systems, reversible systems, pendulum, limit cycles, Gradient systems, Liapunov functions, PoincareBendixson theorem.

Course Methods and Techniques


Prerequisites and corequisities

None

Course Coordinator

None

Name of Lecturers

Associate Prof.Dr. Fatih Erman

Assistants

None

Work Placement(s)

No

Recommended or Required Reading
Resources

Nolinear Dynamics and Chaos, S. H. Strogatz Differential equatons, Dynamical systems, and Linear Algebra by M.W. Hirsch and S. Smale, Academic Press Inc. 1974









