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Building Expansion for Generalizations of Viana Maps

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dc.contributor.authorHorita, Vanderlei [UNESP]
dc.contributor.authorMuniz, Nivaldo
dc.contributor.authorSester, Olivier
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUFMA
dc.contributor.institutionUniv Gustave Eiffel
dc.date.accessioned2025-04-29T18:58:15Z
dc.date.issued2024-01-01
dc.description.abstractWe study a family of skew-products of smooth functions having a unique critical point of degree D≥2 over a strongly expanding map of the circle and prove that these systems admit two positive Lyapunov exponents. This extends an analogous result of Viana who considered, in the seminal paper (Viana in Inst Hautes Études Sci Publ Math 85:63–96, 1997), the quadratic case D=2.en
dc.description.affiliationDepartamento de Matemática IBILCE/UNESP, Rua Cristóvão Colombo 2265, SP
dc.description.affiliationDepartamento de Matemática UFMA, Avenida dos Portugueses, S/N, MA
dc.description.affiliationUniv Paris Est CNRS LAMA UMR8050 Univ Gustave Eiffel
dc.description.affiliationUnespDepartamento de Matemática IBILCE/UNESP, Rua Cristóvão Colombo 2265, SP
dc.identifierhttp://dx.doi.org/10.1007/s10884-024-10357-8
dc.identifier.citationJournal of Dynamics and Differential Equations.
dc.identifier.doi10.1007/s10884-024-10357-8
dc.identifier.issn1572-9222
dc.identifier.issn1040-7294
dc.identifier.scopus2-s2.0-85188529268
dc.identifier.urihttps://hdl.handle.net/11449/301443
dc.language.isoeng
dc.relation.ispartofJournal of Dynamics and Differential Equations
dc.sourceScopus
dc.subject37C05
dc.subjectHigher order critical point
dc.subjectLyapunov exponents
dc.subjectNonuniformly hyperbolic systems
dc.subjectPrimary 37D25
dc.subjectViana maps
dc.titleBuilding Expansion for Generalizations of Viana Mapsen
dc.typeArtigopt
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas