LOGISTIC CHAOS MODEL

A simple system dynamics model This model maps the logistic equation:

x_n+1 = Ax_n(1-x_n )

over a sequence of values of A, starting at 3.4 and incremented by .00003. For each value of A, 500 iterations of x are computed and graphed.

Stocks are used to represent A and x. The function STEP(.00003, 500) in the flow Aifier steps the value of A by .00003 every 500 time units. x is iterated by its flow

Del_x. The graph displays the 500 iterated values of x for each value of A.

MODEL:

MODEL LAUNCH: