In the following the case for and the examination of the . It nicely illustrates the two time scales referred to, the slow then fast parts of the oscillation.
The phase portrait is the plane where is the the Lienard transformed and rescaled version of the equation.
So the system is:
Gaasch et al report an interesting study looking at the commonly expressed “low impedance” retrograde regurgitant volume. This graphic uses the mathematical model in the paper:
This post is motivated by this video by standupmath (Matt Parker).
This simulates the procedure in the video (different upper bounds of integers and sample sizes):
I found this on “Calling Bullshit”. It is no doubt a wonderful illustration of spurious correlation. It made me laugh out loud.