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| On the right we see the tent map increased to this s-value, so one iterate goes to the fixed point of the original tent map. Note this is not the fixed point of the modified (red) tent map. | |||
| Now we return s to its original value, and we are very close to the fixed point. | |||
| Almost surely, we are not exactly at the fixed point, so because the fixed point is unstable, further iterates will move away from the fixed point. | |||
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| Click either picture to see the consequence of slightly missing the fixed point. |