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Periodic Sum of Two Independent Logistic Maps

​
P
a0
0.137
P
b0
0.03
n
99
R
a
3.32
R
b
3.25
Two independent logistic maps (
P
a
and
P
b
) are plotted along with their sum for
n
generations using the following standard formula:
P(n+1)=RP(n)(1-P(n))
.
P
a0
and
P
b0
are the respective initial populations.
R
a
and
R
b
are the respective biotic potentials. All settings of
R
a
and
R
b
in the range 3–3.57 guarantee that
P
an
,
P
bn
,
and
P
an
+
P
bn
all have an attracting period 2 orbit, providing nontraditional periodic wave functions.
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