Supercritical and Subcritical Pitchfork Bifurcations | Nonlinear Dynamics and Chaos

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...
Lecture Notes: drive.google.c...
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[@alexis952]

i've watched all your nonlinear-dynamics videos. You're an exemplary teacher, scientists and person. Thanks so much

[@joshlaubach3380]

I just wanted to let you know that you are amazing for doing this
You'd be even better once you release more Real Analysis and Abstract Algebra

[@rayxu6396]

it's fast but reasonable. it's very clear and thoughtful. thank you man

[@aamirsultan7842]

Your explanation is so clear , on is able to understand every bit of the concept . Kindly include more videos on Hopf bifurcation and limit cycle oscillations (LCO) .

[@duckymomo7935]

This is a fun series

[@dragosmanailoiu9544]

THANK YOU SO MUCH

[@sweetyshaw9531]

I might pass my msc degree for your videos, thank you so much 💝

[@hafizajiaziz8773]

Very interesting

[@lilibonlekharu9749]

Owwoo... It's too good...

[@thomasvadora6951]

I loved the playlist! It helped me a lot! Are you going to do the same for the bidimensional case?

[@gandhijainamgunvantkumar6783]

thanks for amazing explanation :)

[@nugrahasetyaardi2383]

Hey mr Khan, you don't continue this lecture series on nonlinear dynamics and chaos? 😃

[@FacultyofKhan]

Yes I will!

[@sibanandamohanty]

derivative = 2mu or 3mu

[@Hobbit183]

Need 1000” iq to understand title