X-minimal Patterns and a Generalization of Sharkovskii's Theorem

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F98%3A00189597" target="_blank" >RIV/68407700:21110/98:00189597 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

X-minimal Patterns and a Generalization of Sharkovskii's Theorem

Original language description

We study the law of coexistence of different types of cycles for a continuous map of the interval. For this we introduce the notion of eccentricity of a pattern and characterize those patterns with a given eccentricity that are simplest from the point ofview of the forcing relation. We call these patterns X-minimal. We obtain a generalization of Sharkovski??s Theorem where the notion of period is replaced by the notion of eccentricity.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F97%2F0001" target="_blank" >GA201/97/0001: Dynamical systems</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

1998

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Fundamenta Mathematicae

ISSN

0016-2736

e-ISSN

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Volume of the periodical

156

Issue of the periodical within the volume

1

Country of publishing house

PL - POLAND

Number of pages

34

Pages from-to

33-66

UT code for WoS article

000073967600002

EID of the result in the Scopus database

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