Notes:
• Right now this applet doesn't work with Safari on a Mac. I'll try to fix it.
• To see the long term behavior check "Skip first 100 iterates."
If no cobweb plot appears, then there is either an attracting fixed point (in which case you'll see a single red dot on the xaxis) or the orbit goes off the screen. Checking this box enables you to see attracting periodic points.
• You can make your own examples using the input field. The function is f(x) and the slider runs from kmin to kmax.

Quadratic family: f(x)=x^{2}+k
a. Tangent bifurcation at k=0.25
b. Period doubling cascade (decreasing values of k):
• fixed point for k>0.75
• becomes period 2 orbit
at k=0.75
• becomes period 4 orbit
at k=1.23
• becomes period 8 orbit
at k=1.365
• becomes period 16 orbit
at k=1.39
• becomes period 32 orbit
at k=1.401
Cubic family: f(x)=x^{3}+kx
a. Pitchfork bifurcation at k=1
• repelling fixed point for k>1
• three fixed points (two repelling, one attracting) for k<1
b. Period doubling cascade (decreasing values of k):
• fixed point for k>1
• becomes period 2 orbit
at k=2.23
• becomes period 4 orbit
at k=2.29
• becomes period 8 orbit
at k=2.30
Logistic family: f(x)=kx(1x)
a. Period doubling cascade (increasing values of k):
• fixed point for k<3
• becomes period 2 orbit
at k=3
• becomes period 4 orbit
at k=1+sqrt(6) (approx. 3.45)
• becomes period 8 orbit
at k=3.54
• becomes period 16 orbit
at k=3.56
• becomes period 32 orbit
at k=3.57
b. Period doubling cascade (increasing values of k):
• period 3 orbit created at k=3.8284
• becomes period 6 orbit
at k=3.841
• becomes period 12 orbit
at k=3.8477
• becomes period 24 orbit
at k=3.8495
c. Period doubling cascade (increasing values of k):
• period 5 orbit created at k=3.7388
• becomes period 10 orbit
at k=3.7413
• becomes period 20 orbit
at k=3.7428
Tent family:
f(x)=2kx when x<1/2
f(x)=k(22x) otherwise
Baker's family: f(x)=2k(xfloor(2x)) 