Sharkovskii order for non-wandering points

• Type: Article in International Scientific Journal
• Date: 2012

Authors

Maria Pires de Carvalho (Author) FCUP; Fernando Jorge Moreira (Author) Other

Journal

Title: Portugaliae Mathematica

Vol. 69

Pages: 159-165

ISSN: 0032-5155

Publisher: European Mathematical Society Publishing House

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-002-FCA

DOI: 10.4171/pm/1911

Abstract (EN): For a map f : I -> I, a point x is an element of I is periodic with period p is an element of N if f(P) (x) = x and f(j) (x) not equal x for all 0 < j < p. When f is continuous and I is an interval, a theorem due to Sharkovskii ([1]) states that there is an order in N, say (sic), such that if f has a periodic point of period p and p (sic) q, then f also has a periodic point of period q. In this work, we will see how an extension of the order (sic) to sequences of positive integers yields a Sharkovskii-type result for non-wandering points of f.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7