Dynamical Systems Lecture Series

Lecturer: Albert Erkip (Sabanci University)

Textbook: An Introduction to Dynamical Systems, C. M. Place and D. K. Arrowsmith.

First Lecture 

Dynamical systems in 1 dimension. Direction fields and solutions of differential equations. Autonomous equations, phase space representation of trajectories. Stabillty of fixed points.

Second Lecture

 Dynamical systems in the plane. Phase space, trajectories.

Third Lecture

Linear equations (In the plane). Eigenvalues and corresponding solutions. Stability of fixed points. Periodic solutions.

 Fourth Lecture

Nonlinear systems in the plane; local behavior around fixed points.

 Fifth Lecture

Global behavior, types of solutions. Lyapunov curves. The Poincare - Bendixon Theorem.

 Sixth Lecture

Applications.

Starting Date: 11 March 2022

All lectures will be on Youtube as live stream, however Q&A sessions will be on Zoom and people who are registered are going to be able to join interactively.

Applications are closed. Thank you for your interest.