Stratification of three-dimensional real flows I: Fitting domains
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http://hdl.handle.net/10045/132799
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DC Field | Value | Language |
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dc.contributor | Grupo de Álgebra y Geometría (GAG) | es_ES |
dc.contributor.author | Alonso-González, Clementa | - |
dc.contributor.author | Sanz Sánchez, Fernando | - |
dc.contributor.other | Universidad de Alicante. Departamento de Matemáticas | es_ES |
dc.date.accessioned | 2023-03-15T08:00:16Z | - |
dc.date.available | 2023-03-15T08:00:16Z | - |
dc.date.issued | 2023-03-08 | - |
dc.identifier.citation | Journal of Differential Equations. 2023, 361: 40-96. https://doi.org/10.1016/j.jde.2023.02.029 | es_ES |
dc.identifier.issn | 0022-0396 (Print) | - |
dc.identifier.issn | 1090-2732 (Online) | - |
dc.identifier.uri | http://hdl.handle.net/10045/132799 | - |
dc.description.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 ∧, 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 Fr(Vn) is everywhere tangent to ξexcept around Fr(Vn) ∩ ∧, where transversality is mandatory. | es_ES |
dc.description.sponsorship | The authors were supported by Ministerio de Ciencia e Innovación (MTM2016-77642-C2-1-P and PID2019-105621GB-I00). The second author was also supported by Junta de Castilla y León (VA083G19). | es_ES |
dc.language | eng | es_ES |
dc.publisher | Elsevier | es_ES |
dc.rights | © 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). | es_ES |
dc.subject | Real vector fields | es_ES |
dc.subject | Singularities | es_ES |
dc.subject | Foliations | es_ES |
dc.subject | Reduction of singularities | es_ES |
dc.subject | Vector fields dynamics | es_ES |
dc.title | Stratification of three-dimensional real flows I: Fitting domains | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.peerreviewed | si | es_ES |
dc.identifier.doi | 10.1016/j.jde.2023.02.029 | - |
dc.relation.publisherversion | https://doi.org/10.1016/j.jde.2023.02.029 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-77642-C2-1-P | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105621GB-I00 | es_ES |
Appears in Collections: | INV - GAG - Artículos de Revistas |
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File | Description | Size | Format | |
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Alonso-Gonzalez_Sanz-Sanchez_2023_JDifferentialEquations.pdf | 2,67 MB | Adobe PDF | Open Preview | |
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