Uploaded July 2025 | Updated September 2026, 2 weeks ago
This video discusses fixed points and phase portraits of a 2-D dynamical system (linear, uncoupled), and introduces new concepts of attracting fixed points, Lyapunov stable points, and saddle nodes with stable and unstable manifolds!
Questions/requests? Let me know in the comments!
Pre-requisites: Videos before this in my playlist: youtube.com/playlist?list=PLdgVBOaXkb9C8iPDD5xW0jT-c3dtP4TR5
Lecture Notes: drive.google.com/file/d/1hGuk7q5scAGfGGv8-W1F-3e0FargytmI/view?usp=drive_link
Patreon: patreon.com/user?u=4354534
Twitter: twitter.com/FacultyOfKhan
Special thanks to my Patrons:
Patapom
Eugene Bulkin
Andy Johnston
Patrick Gibson
Joseph Dubeau
David Johnston
This video discusses fixed points and phase portraits of a 2-D dynamical system (linear, uncoupled), and introduces new concepts of attracting fixed points, Lyapunov stable points, and saddle nodes with stable and unstable manifolds!
Questions/requests? Let me know in the comments!
Pre-requisites: Videos before this in my playlist: youtube.com/playlist?list=PLdgVBOaXkb9C8iPDD5xW0jT-c3dtP4TR5
Lecture Notes: drive.google.com/file/d/1hGuk7q5scAGfGGv8-W1F-3e0FargytmI/view?usp=drive_link
Patreon: patreon.com/user?u=4354534
Twitter: twitter.com/FacultyOfKhan
Special thanks to my Patrons:
Patapom
Eugene Bulkin
Andy Johnston
Patrick Gibson
Joseph Dubeau
David Johnston










