156Economic DynamicsFigure 4.13.II and then into I as it moves towards the fixed point. A similar behaviour occursif the initial point is (x0,y0)=(3,1) beginning in quadrant III (see exercise 4).Once again the vector forces can be seen in terms of the direction field, whichwe show in figure 4.13, along with the equilibrium lines.4.4Matrix specification of autonomous systemsThe examples so far discussed illustrate that even with simple linear autonomoussystems, 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
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Vector Motors, Howard Staunton, Autonomous Systems, Economic Dynamics, linear autonomous systems