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    • Dpto. Álgebra, Análisis Matemático, Geometría y Topología
    • DEP96 - Artículos de revista
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    Por favor, use este identificador para citar o enlazar este ítem:https://uvadoc.uva.es/handle/10324/58920

    Título
    Stratification of three-dimensional real flows I: Fitting domains
    Autor
    Alonso González, Clementa
    Sanz Sánchez, FernandoAutoridad UVA Orcid
    Año del Documento
    2023
    Editorial
    Elsevier
    Descripción
    Producción Científica
    Documento Fuente
    Journal of Differential Equations, 2023, vol. 361, p. 40-96
    Abstract
    Let ξ be an analytic vector field in R3 with an isolated singularity at the origin and having only hyperbolic singular points after a reduction of singularities π : M → R3. The union of the images by π of the local invariant manifolds at those hyperbolic points, denoted by Λ, is composed of trajectories of ξ accumulating to 0 ∈ R3. Assuming that there are no cycles nor polycycles on the divisor of π , together with a Morse-Smale type property and a non-resonance condition on the eigenvalues at these points, in this paper we prove the existence of a fundamental system {Vn} of neighborhoods well adapted for the description of the local dynamics of ξ : the frontier F r(Vn) is everywhere tangent to ξ except around F r(Vn) ∩ Λ, where transversality is mandatory.
    Materias (normalizadas)
    Matemáticas
    Geometría
    Materias Unesco
    12 Matemáticas
    1204 Geometría
    Palabras Clave
    Real vector fields
    Singularities
    Foliations
    Campos vectoriales reales
    Singularidades
    Foliaciones
    ISSN
    0022-0396
    Revisión por pares
    SI
    DOI
    10.1016/j.jde.2023.02.029
    Patrocinador
    Ministerio de Ciencia e Innovación (MTM2016-77642-C2-1-P and PID2019- 105621GB-I00)
    Junta de Castilla y León (VA083G19)
    Version del Editor
    https://www.sciencedirect.com/science/article/pii/S0022039623001055?via%3Dihub
    Propietario de los Derechos
    © 2023 The Authors
    Idioma
    eng
    URI
    https://uvadoc.uva.es/handle/10324/58920
    Tipo de versión
    info:eu-repo/semantics/publishedVersion
    Derechos
    openAccess
    Collections
    • DEP96 - Artículos de revista [98]
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    Universidad de Valladolid

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