Introducing Bifurcations The Saddle Node Bifurcation

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=21fE0bsTvXE

Welcome to a new section of Nonlinear Dynamics: Bifurcations! Bifurcations are points where a dynamical system (e.g. differential equation) undergoes a significant change in its dynamical behaviour when a certain parameter in the differential equation crosses a critical value. • In this video, I explain saddle node bifurcations. These are bifurcations in which varying a parameter causes the appearance of a half-stable fixed point, followed by two fixed points from nothing. I discuss bifurcation diagrams, bifurcation points, and describe the concept of normal forms. • 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=1mt_... • Patreon: https://www.patreon.com/user?u=4354534 • Twitter: / facultyofkhan • Special thanks to my Patrons for supporting me at the $5 level or higher: • Jose Lockhart • James Mark Wilson • Yuan Gao • Marcin Maciejewski • Sabre • Jacob Soares • Yenyo Pal • Lisa Bouchard • Bernardo Marques • Connor Mooneyhan • Richard McNair

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