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The saddle-straddle method to test for Wada basins

dc.contributor.authorWagemakers, Alexandre
dc.contributor.authorDaza, Alvar
dc.contributor.authorSanjuán, Miguel AF
dc.date.accessioned2023-12-13T09:35:37Z
dc.date.available2023-12-13T09:35:37Z
dc.date.issued2020-01-03
dc.identifier.citationWagemakers, A., Daza, A., & Sanjuán, M. A. F. (2020). The saddle-straddle method to test for Wada basins. Communications in Nonlinear Science and Numerical Simulation, 84, 105167. https://doi.org/10.1016/j.cnsns.2020.105167es
dc.identifier.issn1878-7274
dc.identifier.issn1007-5704
dc.identifier.urihttps://hdl.handle.net/10115/27222
dc.description.abstractFirst conceived as a topological construction, Wada basins abound in dynamical systems. Basins of attraction showing the Wada property possess the particular feature that any small perturbation of an initial condition lying on the boundary can lead the system to any of its possible outcomes. The saddle-straddle method, described here, is a new method to identify the Wada property in a dynamical system based on the computation of its chaotic saddle in the fractalized phase space. It consists of finding the chaotic saddle embedded in the boundary between the basin of one attractor and the remaining basins of attraction by using the saddle-straddle algorithm. The simple observation that the chaotic saddle is the same for all the combinations of basins is sufficient to prove that the boundary has the Wada property.es
dc.language.isoenges
dc.publisherElsevieres
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectWadaes
dc.subjectchaoses
dc.subjectbasin of attractiones
dc.subjectfractales
dc.subjectsaddlees
dc.titleThe saddle-straddle method to test for Wada basinses
dc.typeinfo:eu-repo/semantics/articlees
dc.identifier.doi10.1016/j.cnsns.2020.105167es
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses


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Attribution-NonCommercial-NoDerivatives 4.0 InternacionalExcept where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional