groupfunc2

groupfunc2 - The ROBO HOBOS Kevin Hunter Kimberly...

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The ROBO HOBOS Kevin Hunter Kimberly Groezinger Raul Nolasco CMPE 8 Dunbar 10/30/08 Group HW ch 3 A. The equilibrium speed V * for any constant h k can be defined as V * = (h k /b) while b is the constant 0.5 GroupFunc2.m function out= GroupFunc2(v1,hk,N) v(1)= v1; for k=1:1:N h(k)=hk; v(k+1)= v(k) + .01/20*(-.5*v(k)+ h(k)); plot(k,hk/.5, 'r--' ) hold on end plot(v, 'k.-' ) B.  GroupFunc2(25,0,200) From the starting point of 25 we can see that the orbit is slowly converging with  the fixed point that we get from part A. If we plug in GroupFunc2(25,0,20000) we  can visually see that the points are increasingly approaching the equilibrium point  and from this we can say that the point seems to be stable and attractive. We  can then conclude that because l df / dx  (X=X * )l <1 we can determine that it is stable  and attractive.  Both analyses from plotting and mathematical appear to be  constant.
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groupfunc2 - The ROBO HOBOS Kevin Hunter Kimberly...

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