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ArticleOriginal scientific text

Title

Minor cycles for interval maps

Authors 1

Affiliations

  1. Department of Mathematical Sciences, IUPUI 402 N. Blackford Street, Indianapolis, Indiana 46202-3216, U.S.A.

Abstract

For continuous maps of an interval into itself we consider cycles (periodic orbits) that are non-reducible in the sense that there is no non-trivial partition into blocks of consecutive points permuted by the map. Among them we identify the miror ones. They are those whose existence does not imply existence of other non-reducible cycles of the same period. Moreover, we find minor patterns of a given period with minimal entropy.

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm145/fm14535.pdf

Fundamenta Mathematicae
1994/145/3
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Pages:
281-304
Main language of publication
English
Received
1993-10-15
Published
1994
Exact and natural sciences