Combinatorics of Periodic Points of Interval Maps.

London, Tyler.

In 1964, Sharkovsky showed that there is a linear ordering < of the natural numbers such that m < n if every continuous interval map having an n-periodic point has an m-periodic point. This idea is generalized to get a partial ordering of cyclic permutations called the forcing relation by taking into consideration the pattern of the periodic orbit. We show that forcing can be reduced to the study ... read more

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Undergraduate Honors Theses
Tufts University. Department of Mathematics.
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