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156
Economic Dynamics
Figure 4.13.
II and then into I as it moves towards the fxed point. A similar behaviour occurs
iF the initial point is (
x
0
,
y
0
)
=
(3
,
1) beginning in quadrant III (see exercise 4).
Once again the vector Forces can be seen in terms oF the direction feld, which
we show in fgure 4.13, along with the equilibrium lines.
4.4 Matrix specifcation oF autonomous systems
The examples so Far discussed illustrate that even with simple linear autonomous
systems, the type oF dynamic behaviour is quite varied. In order to pursue the sta
bility/instability aspects oF systems oF autonomous equations it is more convenient
to speciFy the models in terms oF matrices and vectors.
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This note was uploaded on 12/14/2011 for the course ECO 3023 taught by Professor Dr.gwartney during the Fall '11 term at FSU.
 Fall '11
 Dr.Gwartney
 Economics

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