Summary
The difference equation f b :[0,1]−[0,1] defined by f b (x)=b x(1−x) is studied. In particular complete qualitative information is obtained for the parameter value b=3.83. For example the number of fixed points of (f b )i is given by
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Smale, S., Williams, R.F. The qualitative analysis of a difference equation of population growth. J. Math. Biology 3, 1–4 (1976). https://doi.org/10.1007/BF00307853
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DOI: https://doi.org/10.1007/BF00307853