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Homework 4:
Due May 3rd, Monday, 2010
Consider the logistic function:
F
μ
(
x
) =
μx
(1

x
).
We have shown that
τ
0
= (
1)
, τ
1
= (
10)
, τ
2
= (
1011)
, τ
3
= (
10111010)
,...
are the sequences for the
periodic ﬁxed points at the end of the ”period doubling bifurcations”. (Here,
τ
j
+1
is obtained by two
consecutive
τ
j
’s and by changing the last digit 0
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This document was uploaded on 07/19/2010.
 Spring '09
 Math

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