Unformatted text preview: y:=proc(t) option remember; b*x(t1) end: x(0):=0.01: y(0):=0: a:=1.4: b:=0.3: data:=[seq([x(t),y(t)],t=0. .20)]; plot(data); The resulting trajectories are similar to that shown in the chart in fgure 5.3. Spreadsheets do not allow threedimensional plots, but it is very easy to adapt the instructions just presented For Mathematica and Maple to do this. The only essentialdiFFerenceisthefnallineineachprogramme.Assuming‘data’recordsthe list oF points { x ( t ) , y ( t ) , z ( t ) } , then a threedimensional plot requires the instruction Mathematica ListPlot3D[data,PlotJoined>True] Maple plot3d(data); 5.6 The stability of discrete systems 5.6.1 Real distinct roots ±or systems with real distinct roots, r and s, which thereFore have linearly independent eigenvectors, we can establish the stability properties oF such systems by...
View
Full Document
 Fall '11
 Dr.Gwartney
 Economics, Trajectory, Display device, Elementary algebra, Real distinct roots

Click to edit the document details