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More on Fixed Points
For the default parameter values, the torus map
has two distinct sets of periodic points of period five.
Open the Periodic Orbit panel as described in
Section 1.2.13. We
want to find the periodic points of period five, so we
select the input field for the text item Period To Find:,
and set its value to 5.
Now click
on the Find panel button item.
There are two orbits of period five. One orbit is
attracting; we saw this orbit in the previous
section. The other orbit consists of five saddle
points, so we did not observe this orbit when we
computed random trajectories.
It is almost always the case that dstool finds both sets of period five points
on the first try. If the text item # Found:
does not read 2 after selecting Find,
then try selecting Find until it does.
root
1998-11-02