Chaotic saddles and interior crises in a dissipative nontwist system

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dc.contributor.authorSimile Baroni, R. [UNESP]
dc.contributor.authorDe Carvalho, R. Egydio [UNESP]
dc.contributor.authorCaldas, I. L.
dc.contributor.authorViana, R. L.
dc.contributor.authorMorrison, P. J.
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Federal do Paraná (UFPR)
dc.contributor.institutionUniversity of Texas at Austin
dc.date.accessioned2023-07-29T13:45:21Z
dc.date.available2023-07-29T13:45:21Z
dc.date.issued2023-02-01
dc.description.abstractWe consider a dissipative version of the standard nontwist map. Nontwist systems present a robust transport barrier, called the shearless curve, that becomes the shearless attractor when dissipation is introduced. This attractor can be regular or chaotic depending on the control parameters. Chaotic attractors can undergo sudden and qualitative changes as a parameter is varied. These changes are called crises, and at an interior crisis the attractor suddenly expands. Chaotic saddles are nonattracting chaotic sets that play a fundamental role in the dynamics of nonlinear systems; they are responsible for chaotic transients, fractal basin boundaries, and chaotic scattering, and they mediate interior crises. In this work we discuss the creation of chaotic saddles in a dissipative nontwist system and the interior crises they generate. We show how the presence of two saddles increases the transient times and we analyze the phenomenon of crisis induced intermittency.en
dc.description.affiliationDepartamento de Estatistica Matematica Aplicada e Ciencias da Computacao Universidade Estadual Paulista-UNESP Instituto de Geociências e Ciências Exatas-IGCe, SP
dc.description.affiliationUniversidade de São Paulo-USP Instituto de Física-IF, SP
dc.description.affiliationDepartamento de Física-DF Universidade Federal Do Paraná-UFPR, PR
dc.description.affiliationInstitute for Fusion Studies Department of Physics University of Texas at Austin
dc.description.affiliationUnespDepartamento de Estatistica Matematica Aplicada e Ciencias da Computacao Universidade Estadual Paulista-UNESP Instituto de Geociências e Ciências Exatas-IGCe, SP
dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.107.024216
dc.identifier.citationPhysical Review E, v. 107, n. 2, 2023.
dc.identifier.doi10.1103/PhysRevE.107.024216
dc.identifier.issn2470-0053
dc.identifier.issn2470-0045
dc.identifier.scopus2-s2.0-85149707775
dc.identifier.urihttp://hdl.handle.net/11449/248487
dc.language.isoeng
dc.relation.ispartofPhysical Review E
dc.sourceScopus
dc.titleChaotic saddles and interior crises in a dissipative nontwist systemen
dc.typeArtigo
unesp.author.orcid0000-0001-5384-0300[1]
unesp.author.orcid0000-0002-2684-5058[2]
unesp.author.orcid0000-0002-1748-0106[3]
unesp.author.orcid0000-0001-7298-9370 0000-0001-7298-9370[4]

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Artigos - Estatistica, Matemática Aplicada e Computação - IGCE