These images are based on the equation:
N+1 = (lam) * N * (1-N)
where 'N' is the current population level (scaled between zero and one) and 'N+1' is the next population level. 'lam' goes from zero to about five until things get a bit crazy.
This little work is based on the video:
In the plots below, the x-axis is the 'lam' value, and the y-axis is the 'N' value.