dtds Flashcards
1
Q
A DTDS consists of…
A
- a quantity whose change is tracked at time t
- a time step (ex: days, years - the unit in which t is measured)
- an updating function f that describes the change during a single time step [xt+t = f(xt)]
2
Q
The updating function describes…
A
… the CHANGE from one time step to another - NOT the measured value at time T (ie we calculate f(xt), not f(t) ).
3
Q
solution to a DTDS
A
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4
Q
linear dtds updating function
A
xt+1 = f(xt) = rxt + c
where r = rate and c = constant added each time
5
Q
general fixed point solution
A
fixed point = a point that satisifies the equation
f(xt) = (xt)
6
Q
linear dtds fixed point formula
A
x* = d / (1-r)
where d = amount (constant) added each time and r = rate
7
Q
linear dtds general solution
A
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8
Q
cobwebbing algorithm
A
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9
Q
stability of a fixed point
A
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10
Q
Newton’s method
A
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11
Q
A