Unexpected Behaviors in Higher- Order Positive Feedback Loops

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30 D-4455-23.3 Third-Order LoopINITIAL C+daAINITIAL ACdc++BdbINITIAL BFigure 20: Vensim Equivalent of Figure 7: Third-order positive feedback loop.Documentation for third-order positive feedback loop(01) A= INTEG (da, INITIAL A)Units: **undefined**(02) B= INTEG (db, INITIAL B)Units: **undefined**(03) C= INTEG (dc, INITIAL C)Units: **undefined**(04) da=CUnits: **undefined**(05) db=AUnits: **undefined**
D-4455-2 31(06) dc=BUnits: **undefined**(07) FINAL TIME = 12Units: noneThe final time for the simulation.(8) INITIAL A=1Units: **undefined**(9) INITIAL B=-1Units: **undefined**(10) INITIAL C=0Units: **undefined**(11) INITIAL TIME = 0Units: noneThe initial time for the simulation.(12) SAVEPER =TIME STEPUnits: noneThe frequency with which output is stored.(13) TIME STEP = 0.0625Units: noneThe time step for the simulation.
Page 1 and 2: D-4455-1 1Unexpected Behaviors in H
Page 3 and 4: D-4455-2 3Table of Contents1. ABSTR
Page 5 and 6: D-4455-2 5
Page 7 and 8: D-4455-2 71. INTRODUCTIONWe natural
Page 9 and 10: D-4455-2 9+a+x++b. . .+c+Figure 2:
Page 11 and 12: D-4455-2 115.00a(0)=2a(0)=1a(0)=00.
Page 13 and 14: D-4455-2 13many initial values on t
Page 15 and 16: D-4455-2 15The balance for converge
Page 17 and 18: D-4455-2 17Fourth-order feedback ha
Page 19 and 20: D-4455-2 193. SUMMARYAlthough posit
Page 21: D-4455-2 215.001-10: a v . b0.00-5.
Page 25 and 26: D-4455-1 25Vensim Examples:Unexpect
Page 27 and 28: D-4455-2 27Units: **undefined**(4)
Page 29: D-4455-2 292Graph of Unstable Conve
Page 33 and 34: D-4455-2 333.4 Fourth-Order LoopAIN
Page 35 and 36: D-4455-2 35Units: noneThe frequency

Unexpected Behaviors in Higher- Order Positive Feedback Loops

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