S17 Class 14: Bifurcations in 2D


Before class, watch the lecture material linked below and do the activity posted on Piazza.
Post at least one question or comment on Piazza (access via Canvas or directly).  See "Check Yourself" Q1 for details.
Check yourself via the Class 14 Check Yourself on Canvas (Due by 11:59pm on Sun Mar 19th)
In class, we'll work on related ideas: (activity will be posted)
Videos from class: Brake squeal, aeroelastic flutter, speed wobble 1, speed wobble 2
After class, complete the homework (problems due Friday Mar 24th)

Video summary:
Watch Steve's lecture on types of 2D bifurcations (46 min) and Subcritical Hopf bifurcation (19 min)
Book sections: 8.0-8.2

Video details:
V01 (St)  |  Types of 2D bifurcations (00:20 to 12:30)  |  12 min
V02 (St)  |  Saddle node in 2D  (13:00 to 25:48)  |  13 min
V03 (St)  |  Supercritical Pitchfork in 2D  (26:40 to 33:21)  |  7 min
V04 (St)  |  Supercritical Hopf bifurcation  (33:21 to 46:28)  |  13 min
V05 (St)  |  Subcritical Hopf bifurcation (01:07 to 20:25)  |  19 min