Transcritical Bifurcations | Nonlinear Dynamics and Chaos

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:    • Nonlinear Dynamics and Chaos   Lecture Notes: https://drive.google.com/open?id=1jwI... Patreon: https://www.patreon.com/user?u=4354534 Twitter:   / 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