ROTATIONAL CHAOS AND STRANGE ATTRACTORS ON THE 2-TORUS

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F15%3AA160197K" target="_blank" >RIV/61988987:17610/15:A160197K - 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

ROTATIONAL CHAOS AND STRANGE ATTRACTORS ON THE 2-TORUS

Original language description

We construct a 2-torus homeomorphism h homotopic to the identity with an attracting R.H. Bing's pseudocircle C such that the rotation set of h|C is not a unique vector. The only known examples of such an attractor were Birkhoff's attractors, arising fordissipative maps with a twist. Our construction relies heavily on the Barge-Martin method for constructing attractors as inverse limits of graphs.

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/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>

Continuities

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

Publication year

2015

Confidentiality

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

Name of the periodical

MATH Z

ISSN

0025-5874

e-ISSN

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Volume of the periodical

279

Issue of the periodical within the volume

3-4

Country of publishing house

DE - GERMANY

Number of pages

14

Pages from-to

689-702

UT code for WoS article

000350875500004

EID of the result in the Scopus database

2-s2.0-84925543643