Here we test the Logistic Map using finite and infinite precision floats (Apfloats). More decimals produce longer sequence (longer chaotic signal for certain parameters). Shorter decimal precision makes the sequence converge to zero eventually. In the process, number of decimals rises and then drops for some reason, forming a bell-shaped curve with long tail. On second consideration, this does not look like a bell-shaped curve at all. Logistic map calculated with parameters x initial = 0.9 and r = 4.
Download from https://sourceforge.net/p/logisticbell
Execute the logistic.jar program using Java 8 64-bit.