Lecture: Introduction to Complex Systems

This page contains all the information related to the module’s lecture Introduction to Complex Systems. Lecture notes as well as supplementary information, such as video clips, online resources, material discussed during the lecture will be posted here. The first part of the lecture will cover required theoretical and mathematical techniques. These are compiled in the mathematical backbone document (see below). The lectures will also give an introduction to all the different applied topics.

Individual Lectures

Theoretical Foundation

Throughout the course we will use a few basic principles from dynamical systems theory (fixed points, linear stability analysis, limit cycles, etc.) and random walk theory (diffusion equation, central limit theorem etc.). This file


collects some of the basic principles that are required to manage this course. Be careful. This document needs to be proofread still and may contain a number of typos.

  • Stacks Image 2760
  • Stacks Image 2761
  • Stacks Image 2762
  • Stacks Image 2763
  • Stacks Image 2764
  • Stacks Image 2765
  • Stacks Image 2766