Welcome - Dynamical Systems | Intro Lecture

Welcome to my lecture series on dynamical systems! In this series, I’ll guide you through the fascinating world of systems governed by differential equations and maps, showing how their behaviour changes as parameters vary. We’ll explore periodic and homoclinic solutions, examine the role of structures like time reversibility and conserved quantities, and dive into chaotic dynamics with strange attractors that defy traditional dimensions. Along the way, I’ll connect theory to real-world applications in chemical reactions, climate modelling, epidemiology, and phase transitions. Whether you want to uncover hidden patterns in complex systems or apply dynamical systems theory to practical problems, this series will give you the tools, insights, and intuition to understand dynamics like never before. Previous lectures on differential equations:    • Welcome - Ordinary Differential Equations ...   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.