Comparing Periodic Orbits of Maps of the Interval

Chris Bernhardt; E. Coven; M. Misiurewicz; Irene Mulvey

doi:10.2307/2154055

Comparing Periodic Orbits of Maps of the Interval

Chris Bernhardt, E. Coven, M. Misiurewicz, Irene Mulvey

Fairfield University

Research output: Contribution to journal › Article › peer-review

Abstract

Let pi and theta be cyclic permutations of finite ordered sets. We say that pi forces theta if every continuous map of the interval which has a representative of pi also has one of theta . We give a geometric version of Jungreis' combinatorial algorithm for deciding in certain cases whether pi forces theta .

Original language	American English
Journal	Transactions of the American Mathematical Society
Volume	333
DOIs	https://doi.org/10.2307/2154055
State	Published - Oct 1 1992

Disciplines

Computer Sciences
Physical Sciences and Mathematics

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Comparing Periodic Orbits of Maps of the IntervalFinal published version, 832 KBLicense: CC BY
Comparing Periodic Orbits of Maps of the IntervalFinal published version, 832 KBLicense: CC BY

Cite this

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title = "Comparing Periodic Orbits of Maps of the Interval",

abstract = " Let pi and theta be cyclic permutations of finite ordered sets. We say that pi forces theta if every continuous map of the interval which has a representative of pi also has one of theta . We give a geometric version of Jungreis' combinatorial algorithm for deciding in certain cases whether pi forces theta .",

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AU - Coven, E.

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AU - Mulvey, Irene

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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Comparing Periodic Orbits of Maps of the Interval

Abstract

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