Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100969403> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W3100969403 endingPage "1228" @default.
- W3100969403 startingPage "1208" @default.
- W3100969403 abstract "Let $0<a<b<1$ and let $T$ be the doubling map. Set $mathcal J(a,b):={xin[0,1] : T^nxnotin (a,b), nge0}$. In this paper we completely characterize the holes $(a,b)$ for which any of the following scenarios holds: {enumerate} $mathcal J(a,b)$ contains a point $xin(0,1)$; $mathcal J(a,b)cap [de,1-de]$ is infinite for any fixed $de>0$; $mathcal J(a,b)$ is uncountable of zero Hausdorff dimension; $mathcal J(a,b)$ is of positive Hausdorff dimension. {enumerate} In particular, we show that (iv) is always the case if [ b-a<frac14prod_{n=1}^infty bigl(1-2^{-2^n}bigr)approx 0.175092 ] and that this bound is sharp. As a corollary, we give a full description of first and second order critical holes introduced in cite{SSC} for the doubling map. Furthermore, we show that our model yields a continuum of routes to chaos via arbitrary sequences of products of natural numbers, thus generalizing the standard route to chaos via period doubling." @default.
- W3100969403 created "2020-11-23" @default.
- W3100969403 creator A5081904890 @default.
- W3100969403 creator A5084524431 @default.
- W3100969403 date "2013-11-14" @default.
- W3100969403 modified "2023-10-14" @default.
- W3100969403 title "The doubling map with asymmetrical holes" @default.
- W3100969403 cites W1557890253 @default.
- W3100969403 cites W1586417893 @default.
- W3100969403 cites W1964532778 @default.
- W3100969403 cites W1986600306 @default.
- W3100969403 cites W1993361998 @default.
- W3100969403 cites W1996332501 @default.
- W3100969403 cites W1997505681 @default.
- W3100969403 cites W2000168408 @default.
- W3100969403 cites W2014270169 @default.
- W3100969403 cites W2015866466 @default.
- W3100969403 cites W2030965826 @default.
- W3100969403 cites W2037546882 @default.
- W3100969403 cites W2051129141 @default.
- W3100969403 cites W2111410725 @default.
- W3100969403 cites W2119619418 @default.
- W3100969403 cites W2170830187 @default.
- W3100969403 cites W2284521888 @default.
- W3100969403 cites W2316143730 @default.
- W3100969403 doi "https://doi.org/10.1017/etds.2013.98" @default.
- W3100969403 hasPublicationYear "2013" @default.
- W3100969403 type Work @default.
- W3100969403 sameAs 3100969403 @default.
- W3100969403 citedByCount "14" @default.
- W3100969403 countsByYear W31009694032013 @default.
- W3100969403 countsByYear W31009694032014 @default.
- W3100969403 countsByYear W31009694032015 @default.
- W3100969403 countsByYear W31009694032017 @default.
- W3100969403 countsByYear W31009694032018 @default.
- W3100969403 countsByYear W31009694032019 @default.
- W3100969403 countsByYear W31009694032020 @default.
- W3100969403 countsByYear W31009694032021 @default.
- W3100969403 countsByYear W31009694032022 @default.
- W3100969403 crossrefType "journal-article" @default.
- W3100969403 hasAuthorship W3100969403A5081904890 @default.
- W3100969403 hasAuthorship W3100969403A5084524431 @default.
- W3100969403 hasBestOaLocation W31009694032 @default.
- W3100969403 hasConcept C10138342 @default.
- W3100969403 hasConcept C110729354 @default.
- W3100969403 hasConcept C114614502 @default.
- W3100969403 hasConcept C134306372 @default.
- W3100969403 hasConcept C142399903 @default.
- W3100969403 hasConcept C162324750 @default.
- W3100969403 hasConcept C182306322 @default.
- W3100969403 hasConcept C184264201 @default.
- W3100969403 hasConcept C191399826 @default.
- W3100969403 hasConcept C194198291 @default.
- W3100969403 hasConcept C2780012671 @default.
- W3100969403 hasConcept C2991919592 @default.
- W3100969403 hasConcept C33676613 @default.
- W3100969403 hasConcept C33923547 @default.
- W3100969403 hasConcept C77553402 @default.
- W3100969403 hasConceptScore W3100969403C10138342 @default.
- W3100969403 hasConceptScore W3100969403C110729354 @default.
- W3100969403 hasConceptScore W3100969403C114614502 @default.
- W3100969403 hasConceptScore W3100969403C134306372 @default.
- W3100969403 hasConceptScore W3100969403C142399903 @default.
- W3100969403 hasConceptScore W3100969403C162324750 @default.
- W3100969403 hasConceptScore W3100969403C182306322 @default.
- W3100969403 hasConceptScore W3100969403C184264201 @default.
- W3100969403 hasConceptScore W3100969403C191399826 @default.
- W3100969403 hasConceptScore W3100969403C194198291 @default.
- W3100969403 hasConceptScore W3100969403C2780012671 @default.
- W3100969403 hasConceptScore W3100969403C2991919592 @default.
- W3100969403 hasConceptScore W3100969403C33676613 @default.
- W3100969403 hasConceptScore W3100969403C33923547 @default.
- W3100969403 hasConceptScore W3100969403C77553402 @default.
- W3100969403 hasIssue "4" @default.
- W3100969403 hasLocation W31009694031 @default.
- W3100969403 hasLocation W31009694032 @default.
- W3100969403 hasLocation W31009694033 @default.
- W3100969403 hasLocation W31009694034 @default.
- W3100969403 hasLocation W31009694035 @default.
- W3100969403 hasOpenAccess W3100969403 @default.
- W3100969403 hasPrimaryLocation W31009694031 @default.
- W3100969403 hasRelatedWork W1991044401 @default.
- W3100969403 hasRelatedWork W2003116146 @default.
- W3100969403 hasRelatedWork W2009038484 @default.
- W3100969403 hasRelatedWork W2017331178 @default.
- W3100969403 hasRelatedWork W2054104090 @default.
- W3100969403 hasRelatedWork W2082455413 @default.
- W3100969403 hasRelatedWork W2094622271 @default.
- W3100969403 hasRelatedWork W2356056792 @default.
- W3100969403 hasRelatedWork W2939935132 @default.
- W3100969403 hasRelatedWork W3103790978 @default.
- W3100969403 hasVolume "35" @default.
- W3100969403 isParatext "false" @default.
- W3100969403 isRetracted "false" @default.
- W3100969403 magId "3100969403" @default.
- W3100969403 workType "article" @default.