Wolfram Demonstrations Project

Two independent logistic maps (

and

) are plotted along with their sum for

generations using the following standard formula:

and

are the respective initial populations.

and

are the respective biotic potentials. All settings of

and

in the range 3–3.57 guarantee that

and

all have an attracting period 2 orbit, providing nontraditional periodic wave functions.

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Periodic Sum of Two Independent Logistic Maps