Let's say we have a one parameter family:
dydt=y2+kdydt=y2+k
I want to find the bifurcation value. What does this mean?
It seems like I need to set dy/dt = 0 and then solve for k, but then I get a negative square root:
0=y2+k0=y2+k
y2=−ky2=−k
y=sqrt(−k)y=sqrt(−k)
or
k=−y2
