Uploaded September 2019 | Updated September 2026, 2 weeks ago
This video is about transcritical bifurcations, and is a continuation to the Bifurcations videos in my Nonlinear Dynamics series.
Transcritical bifurcations are bifurcations in which varying a parameter causes two fixed points to fuse and become a half-stable fixed point, after which they switch stability. I also solve an example of a transcritical bifurcation, which ultimately reduces to its normal form.
Questions/requests? Let me know in the comments!
Pre-reqs: The videos before this one on this playlist: youtube.com/playlist?list=PLdgVBOaXkb9C8iPDD5xW0jT-c3dtP4TR5
Lecture Notes: drive.google.com/open?id=1jwIMJVksbeX5xplKyfhKJbDRTj-zO1HP
Patreon: patreon.com/user?u=4354534
Twitter: twitter.com/FacultyOfKhan
Special thanks to my Patrons for supporting me at the $5 level or higher:
- Cesar Garza
- Daigo Saito
- Alvin Barnabas
- Aldo Mendes Martins
- Yenyo Pal
- Lisa Bouchard
- Richard Mcnair
- Patapom
- Bernardo Marques
- Jacob Soares
- Otar Kemularia
This video is about transcritical bifurcations, and is a continuation to the Bifurcations videos in my Nonlinear Dynamics series.
Transcritical bifurcations are bifurcations in which varying a parameter causes two fixed points to fuse and become a half-stable fixed point, after which they switch stability. I also solve an example of a transcritical bifurcation, which ultimately reduces to its normal form.
Questions/requests? Let me know in the comments!
Pre-reqs: The videos before this one on this playlist: youtube.com/playlist?list=PLdgVBOaXkb9C8iPDD5xW0jT-c3dtP4TR5
Lecture Notes: drive.google.com/open?id=1jwIMJVksbeX5xplKyfhKJbDRTj-zO1HP
Patreon: patreon.com/user?u=4354534
Twitter: twitter.com/FacultyOfKhan
Special thanks to my Patrons for supporting me at the $5 level or higher:
- Cesar Garza
- Daigo Saito
- Alvin Barnabas
- Aldo Mendes Martins
- Yenyo Pal
- Lisa Bouchard
- Richard Mcnair
- Patapom
- Bernardo Marques
- Jacob Soares
- Otar Kemularia










