Unexpected Behaviors in Higher- Order Positive Feedback Loops
Order Positive Feedback Loops - Creative Learning Exchange
Order Positive Feedback Loops - Creative Learning Exchange
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28 D-4455-25A(0)=2Graph of Exponential BehaviorA(0)=1A(0)=00A(0)=-2-50 1 2 3 4 5 6TimeFigure 17: Vensim Equivalent of Figure 4: Exponential behavior from four different<strong>in</strong>itial conditions (second-order positive feedback loop). B(0)=1 <strong>in</strong> all cases.2Graph of Convergent Behavior10-112B(0)=1A(0)=-12 2 1 21 1-20 1 2 3 4 5 6TimeA: -------------------------------------------------------------- 1 1 1 unitsB: -------------------------------------------------------------- 2 22 unitsFigure 18: Vensim Equivalent of Figure 5:Convergent behavior from <strong>in</strong>itial conditionsA(0)=-1, B(0)=1 (second order positive loop).