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.

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Pre-reqs: The videos before this one on this playlist: https://www.youtube.com/playlist?list=PLdgVBOaXkb9C8iPDD5xW0jT-c3dtP4TR5
Lecture Notes: https://drive.google.com/open?id=1jwIMJVksbeX5xplKyfhKJbDRTj-zO1HP
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Видео Transcritical Bifurcations | Nonlinear Dynamics and Chaos канала Faculty of Khan