Plotting the Results with AUTO .

The bifurcation diagram computed in the runs above was stored in the files b.mu and b.cusp, while each labeled solution is fully stored in s.mu and s.cusp. To use AUTO to graphically inspect these data-files. type the AUTO -command given in Table 12.5. The saved plots are shown in Figure 12.1 and in Figure 12.2.

Figure 12.1 shows the bifurcation diagrams for the first run, and Figure 12.2 for the second run.

The plotting window consists of a menubar at the top, a plotting area, and a control panel with four control widgets at the bottom. By default the first two columns in the bifurcation diagram output are plotted against each other. To obtain a $\mu$ versus $x$ bifurcation diagram you need to plot column 0 versus column 1. You can do that by changing the ``Y'' box to say ``[2]'', either by typing it there, by using the menu obtained by clicking the downwards facing triangle or by using a scripted command as used in cusp.auto. You can also change the mode of the plotting tool from ``bifurcation'' to ``solution''. This is accomplished by clicking on the widget marked ``Type'' on the bottom control panel and setting it from ``bifurcation'' to ``solution''. In the plotting window will appear a plot of the first labeled solution, in this case just a point. You can plot all points by changing the ``Label'' to ``[1,2,3,4,5,6,7,8,9,10]''.

The plotting tool can also be used to create Postscript files from plots by selecting the ``File'' on the menubar and then selecting the ``Save Postscript...'' from the drop down menu. This will bring up a dialog into which the user can enter the filename of the postscript file to save the plot in. Further information on the plotting tool can be found in Section 4.11.

Table 12.5: Command for plotting the files b.ab and s.ab.

AUTO -COMMAND	ACTION
plot("mu")	run AUTO to graph the contents of b.mu and s.mu;

Figure 12.1: The first bifurcation diagram of demo cusp.

Figure 12.2: The second bifurcation diagram of demo cusp.