If you have not already done so, use the procedure of
Section 1.2.12 to restore the default Lorenz System.
Adjust your view window to the
plane.
We shall numerically compute the equilibria for
the Lorenz system. First using the Panels menu button of the
dstool command window, click with
on the
Periodic... entry. The Periodic Orbit panel appears. (Figure
) The entry 0 in the Period to Find: text field
in the upper left corner indicates to dstool a wish to find
equilibria. Using
,
press the Find button in the fifth
line of the panel, and dstool will use Newton's method starting at a
random point to search for equilibria. The number of tries (by default
10) is specified in the # MC: field, and the number of
equilibria found is reported in the # Found: field. Dstool
marks saddles
in view windows with green plus signs, sinks as blue
triangles, and sources as red squares. After one or two
presses of Find, you'll almost certainly have located the three
saddles of the Lorenz system. (Figure
)
To the right of Settings: on the fourth line of the
Periodic Orbit panel is the Hide/Show choice box. Click
on Show and the panel will expand, with a number
of parameters accessible for editing. (Figure
)
You can also change the
Algorithm: and Initial Guess: methods via the abbreviated
menu buttons to the right of these labels.