Supercritical and Subcritical Pitchfork Bifurcations | Nonlinear Dynamics and Chaos

Описание: Get your pitchforks out everyone, because this video is about pitchfork bifurcations, and is another continuation to the Bifurcations videos in my Nonlinear Dynamics series!

There are two types of pitchfork bifurcations: supercritical and subcritical. Supercritical bifurcations are bifurcations in which varying a parameter changes the stability of one fixed point from stable to unstable, and causes two stable fixed points to appear. A subcritical bifurcation is the opposite, in that an unstable fixed point becomes stable, while two new unstable fixed points appear after crossing the bifurcation point.

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Pre-reqs: The videos before this one on this playlist:    • Nonlinear Dynamics and Chaos  

Lecture Notes: https://drive.google.com/open?id=1xus...
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