Folding points of unimodal inverse limit spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA2101X4M" target="_blank" >RIV/61988987:17610/20:A2101X4M - isvavai.cz</a>
Result on the web
<a href="https://iopscience.iop.org/article/10.1088/1361-6544/ab4e31" target="_blank" >https://iopscience.iop.org/article/10.1088/1361-6544/ab4e31</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1361-6544" target="_blank" >10.1088/1361-6544</a>

Result language
angličtina
Original language name
Folding points of unimodal inverse limit spaces
Original language description
Williams' work from the 1960s and 1970s provides a thorough understanding of hyperbolic one-dimensional attractors through their representation as inverse limits. In fact, point in a uniformly hyperbolic attractor has a neighbourhood that is homeomorphic to a Cantor set of open arcs. In order to understand the topology of non-uniformly hyperbolic attractors better, we study the existence and prevalence of points with more complicated local structures in simple models of planar attractors, focusing on unimodal inverse limits setting. Such points whose neighbourhoods are not homeomorphic to the product of a Cantor set and an open arc are called folding points. We distinguish between various types of folding points and study how the dynamics of the underlying unimodal map affects their structures. Specifically, we characterise unimodal inverse limit spaces for which every folding point is an endpoint.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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