S17 Class 15: More bifurcations

 

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 15 Check Yourself on Canvas (Due by 11:59pm on Tues Mar 21st)
In class, we'll work on related ideas: (activity will be posted)
After class, complete the homework (problems due Friday Mar 31st)
 
Video summary:
A few small videos (see V01-03), then Steve's description of some additional bifurcations, and another short video (see V08).
Book sections: 8.3-8.5
 
V01 (St)  |  Oscillating chemical reactions (49:56 to 52:36)  | 3 min
V02 (demo)  |  Briggs-Rauscher oscillating reaction  (All)  |  4 min
V03 (demo)  |  Belousov-Zhabotinsky reaction  (All)  |  1 min
V04 (St)  |  Stable and unstable cycles collide  (01:05 to 11:13)  |  10 min
V05 (St)  |  Saddle-node infinite period  (11:13 to 25:30)  |  14 min
V06 (St)  |  Cardiac dynamics link  (25:30 to 31:45)  |  6 min
V07 (St)  |  Period with ghost  (31:45 to 37:18)  |  6 min
V08 (Sa)  |  Homoclinic bifurcation  (All)  |  6 min
V09 (St)  |  Universal behavior near bifns  (37:18 to 44:24)  |  7 min

Videos:
8 min for chemical oscillators + 43 of Steve's lecture 14 + 6 min of homoclinic
57 min total