You are not currently logged in.
Access your personal account or get JSTOR access through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
ON THE NUMBER OF PERIODIC ORBITS OF CONTINUOUS MAPPINGS OF THE INTERVAL
Jaume Llibre and Agustí Reventós
Publicacions de la Secció de Matemàtiques
No. 25 (JUNY 1981), pp. 97-106
Published by: Universitat Autònoma de Barcelona
Stable URL: http://www.jstor.org/stable/43741888
Page Count: 10
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
Let f be a continuous map of a closed interval into itself, and let P(f) denote the set of positive integers k such that f has a periodic point of period k. Consider the following ordering of positive integers: 3,5,7,...,2.3,2.5,2.7,...,4.3,4.5,4.7,...,8,4,2,1. Sarkovskii's theorem states that if n ∊ P(f) and m is to the right of n in the above ordering then m ∊ P(f). We may ask the following question: if n ∊ P(f) and m is to the right of n in the above ordering what can be said about the number of periodic orbits of f of period m ?. We give the answer to this question if n is either odd or a power of 2.
Publicacions de la Secció de Matemàtiques © 1981 Universitat Autònoma de Barcelona