Lecture 3 - Introduction to Dynamical Systems

Abstract

This lecture introduces dynamical systems and their stability. We cover the mathematical description of a dynamical system, their equilibirum points and respective stability, as well as the stability of non linear dynamical systems.

Lecture Video

Slides

Click here to download a pdf version of the ppt presentation.

Exercises Instructions

Click here to download a pdf of the instructions for the exercises.

Code for MATLAB Exercises

The recommended way to do the MATLAB exercises is to download the entire repository once, then go to each lecture's folder. Detailled instructions for installation can be found on the Software page.

Click here to download the corresponding exercise for this lecture as a zip file.
Note you will also need this libraries folder placed with the correct directory structure.

First Theoretical Exercise Solution

Click here to download a pdf of the solution of the first handwritten exercise.