Choosing the variables

Figure 8.8: Menu-bar layout

AUTO can generate large amounts of data. The CR3BP, for example, has 6 variables, i.e., $x,y, z, x', y', z'$, and time. One can choose to draw any combination of these variables in 2 or 3 dimensions using PLAUT04. On the list bar, we can see three dropdown lists with label ``X'', ``Y'', and ``Z'' (See Figure 8.8). Each of these three lists has the exact number of choices, namely, the number of variables of the system plus one. In our case, these lists have 7 choices, which are represented by the integers 0 to 6. 0 represents time. 1 to 6 stand for $x, y, z, x', y'$, and $z'$, respectively. ``1'' is selected for ``X'', which indicates that $x$ is drawn on the X-axis. ``2'' is selected for ``Y'', which indicates that $y$ is represented on the Y-axis. ``3'' is selected for ``Z'', which indicates that $z$ is represented on the Z-axis.

Figure 8.9: Displaying multiple components

We can also show multiple combinations at the same time. For example, if we want to show x-y-z and x'-y'-z' in the same diagram, we can input $1,4$ in the ``X'' dropdown list to select $x$ and $x'$ being drawn on the X-axis, input $2,5$ in the ``Y'' list to show $y$ and $y'$ on the Y-axis, and input $3,6$ in the ``Z'' dropdown list to draw $z$ and $z'$ on the Z-Axis. Note that after finishing the input in the dropdown list box, we must type ``ENTER'' for the input to be accepted by the system. Figure 8.9 shows the results of the above choices. The combination is flexible. For example, if X is $1$, Y is $3, 5$, and Z is $4, 5, 6$, the system will automatically reorganize them to $1-3-4$, $1-5-5$, $1-3-6$ and show the results. If X is $1, 5$, Y is $2$, and Z is $3, 4$, the system reorganizes them to $1-2-3$, $5-2-4$.

Different components are drawn with different colors from blue to red.

The default values can be set in the resource file. If no resource file exists, then the system will use ``1'' for X-axis, ``2'' for Y-axis, and ``3''for Z-axis for both the solution and the bifurcation diagrams.