PERIOD DOUBLING AS A ROUTE TO CHAOS

Now A is increased to 3.5 and the size of the population goes repeatedly through a sequence of four numbers. The period has doubled. [On your calculator you will expeience this. The outcome will settle in on some sequence of four numbers over and over again.

Here you see the sequence repeating every four generations itself as we go from generation to generation.

Next, as we increase A further we reach chaos.