A trapping square is small square, with opposite
corners on the line y = x, having two properties: |
the iterates of almost every starting point eventually enters the
trapping square, and |
once the iterates enter the trapping square, they never leave. |
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For example, |
 |
 |
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Iterates enter the trapping square |
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Iterates never leave the trapping square |
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For functions L(x) that increase to their maximum value (at
x = 1/2, say) and then
decrease, the trapping square is defined by the values L(1/2) and
L2(1/2). Here is an illustration. |
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