Ascertaining when a basin is Wada: the merging method

Abstract Trying to imagine three regions separated by a unique boundary seems a difficult task. However, this is exactly what happens in many dynamical systems showing Wada basins. Here, we present a new perspective on the Wada property: A Wada boundary is the only one that remains unaltered under t...

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Autores principales:	Alvar Daza, Alexandre Wagemakers, Miguel A. F. Sanjuán
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/6290cee4d357460d9b54ae4fbbeb9a74
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spelling	oai:doaj.org-article:6290cee4d357460d9b54ae4fbbeb9a742021-12-02T15:09:07ZAscertaining when a basin is Wada: the merging method10.1038/s41598-018-28119-02045-2322https://doaj.org/article/6290cee4d357460d9b54ae4fbbeb9a742018-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-28119-0https://doaj.org/toc/2045-2322Abstract Trying to imagine three regions separated by a unique boundary seems a difficult task. However, this is exactly what happens in many dynamical systems showing Wada basins. Here, we present a new perspective on the Wada property: A Wada boundary is the only one that remains unaltered under the action of merging the basins. This observation allows to develop a new method to test the Wada property, which is much faster than the previous ones. Furthermore, another major advantage of the merging method is that a detailed knowledge of the dynamical system is not required.Alvar DazaAlexandre WagemakersMiguel A. F. SanjuánNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-8 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Alvar Daza Alexandre Wagemakers Miguel A. F. Sanjuán Ascertaining when a basin is Wada: the merging method
description	Abstract Trying to imagine three regions separated by a unique boundary seems a difficult task. However, this is exactly what happens in many dynamical systems showing Wada basins. Here, we present a new perspective on the Wada property: A Wada boundary is the only one that remains unaltered under the action of merging the basins. This observation allows to develop a new method to test the Wada property, which is much faster than the previous ones. Furthermore, another major advantage of the merging method is that a detailed knowledge of the dynamical system is not required.
format	article
author	Alvar Daza Alexandre Wagemakers Miguel A. F. Sanjuán
author_facet	Alvar Daza Alexandre Wagemakers Miguel A. F. Sanjuán
author_sort	Alvar Daza
title	Ascertaining when a basin is Wada: the merging method
title_short	Ascertaining when a basin is Wada: the merging method
title_full	Ascertaining when a basin is Wada: the merging method
title_fullStr	Ascertaining when a basin is Wada: the merging method
title_full_unstemmed	Ascertaining when a basin is Wada: the merging method
title_sort	ascertaining when a basin is wada: the merging method
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/6290cee4d357460d9b54ae4fbbeb9a74
work_keys_str_mv	AT alvardaza ascertainingwhenabasiniswadathemergingmethod AT alexandrewagemakers ascertainingwhenabasiniswadathemergingmethod AT miguelafsanjuan ascertainingwhenabasiniswadathemergingmethod
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Ascertaining when a basin is Wada: the merging method

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