Welcome to this lecture series on dynamical systems!

This lecture series gives an overview of the theory and applications of dynamical systems modelled by differential equations and maps. We will discuss changes of the dynamics when parameters are varied, investigate periodic and homoclinic solutions that arise in applications, and study the impact of additional structures such as time reversibility and conserved quantities on the dynamics. We will also study systems with complicated “chaotic” dynamics that possess attracting sets which do not have integer dimension. Applications to chemical reactions, climate, epidemiology, and phase transitions will be discussed.

Previous lectures on differential equations:    • Welcome - Ordinary Differential Equat...  

Textbook: https://www.stevenstrogatz.com/books/...

This course is taught by Jason Bramburger for Concordia University.

More information on the instructor: https://hybrid.concordia.ca/jbrambur/

Follow @jbramburger7 on Twitter for updates.