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Find all parameters a (0, 4] for which the logistic family ga(x) = ax(1x) has an attracting 2-cycle. Conclude that there is in fact

Find all parameters a (0, 4] for which the logistic family ga(x) = ax(1x) has an attracting 2-cycle. Conclude that there is in fact a period-doubling bifurcation at a = 3.

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