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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 \framebox{SELECT} 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.



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1998-11-02