Una descomposición espectral para conjuntos singulares hiperbólicos
dc.contributor.advisor | Bautista Diaz, Serafin | |
dc.contributor.author | Bohórquez Castllo, Wilfredo | |
dc.date.accessioned | 2022-08-25T13:19:10Z | |
dc.date.available | 2022-08-25T13:19:10Z | |
dc.date.issued | 2022-06-22 | |
dc.description | ilustraciones, gráficas | spa |
dc.description.abstract | En este trabajo estudiaremos los resultados obtenidos por Carlos A. Morales y Maria José Pacífico donde se extienden algunas propiedades de conjuntos hiperbólicos a una clase más general, los conjuntos parcialmente hiperbólicos y singular hiperbólicos, en variedades tridimensionales. Como resultado principal se muestra una extensión del Teorema de Descomposición Espectral de Smale sobre conjuntos singulares hiperbólicos. | spa |
dc.description.abstract | In this work we will study the results obtained by Carlos A. Morales and Maria José Pacífico where some properties of hyperbolic sets are extended to a more general class, the partially hyperbolic and singular hyperbolic sets, on three-dimensional manifolds. As a main result we show an extension of Smale’s Spectral Decomposition Theorem on singular-hyperbolic sets. | eng |
dc.description.degreelevel | Maestría | spa |
dc.format.extent | xiii, 46 páginas | spa |
dc.format.mimetype | application/pdf | spa |
dc.identifier.instname | Universidad Nacional de Colombia | spa |
dc.identifier.reponame | Repositorio Institucional Universidad Nacional de Colombia | spa |
dc.identifier.repourl | https://repositorio.unal.edu.co/ | spa |
dc.identifier.uri | https://repositorio.unal.edu.co/handle/unal/82087 | |
dc.language.iso | spa | spa |
dc.publisher | Universidad Nacional de Colombia | spa |
dc.publisher.branch | Universidad Nacional de Colombia - Sede Bogotá | spa |
dc.publisher.department | Departamento de Matemáticas | spa |
dc.publisher.faculty | Facultad de Ciencias | spa |
dc.publisher.place | Bogotá, Colombia | spa |
dc.publisher.program | Bogotá - Ciencias - Maestría en Ciencias - Matemáticas | spa |
dc.relation.references | Araújo, V. and Pacifico, M. J. (2010). Three-dimensional flows, volume 53. Springer Science & Business Media. | spa |
dc.relation.references | Bautista, S. (2004). The geometric lorenz attractor is a homoclinic class. Boletín de Matemáticas, 11(1):69–78. | spa |
dc.relation.references | Bautista, S. (2005). Sobre conjuntos hiperbólicos-singulares. Portuguese. Thesis, Universidade Federal do Rio de Janeiro. | spa |
dc.relation.references | Bonatti, C., Díaz, L. J., and Viana, M. (2006). Dynamics beyond uniform hyperbolicity: A global geometric and probabilistic perspective, volume 102. Springer Science & Business Media. | spa |
dc.relation.references | Guckenheimer, J. and Williams, R. F. (1979). Structural stability of lorenz attractors. Publications Mathématiques de l’Institut des Hautes Études Scientifiques, 50(1):59–72. | spa |
dc.relation.references | Hirsch, M. W., Pugh, C. C., and Shub, M. (1977). Invariant manifolds, volume 583. Springer. | spa |
dc.relation.references | Mañé, R. (1987). A proof of the c 1 stability conjecture. Publications Mathématiques de l’Institut des Hautes Études Scientifiques, 66(1):161–210. | spa |
dc.relation.references | Melo, W. d. and Palis, J. (1982). Geometric theory of dynamical systems. Springer Verlag, New York1982, 10:978–1. | spa |
dc.relation.references | Morales, C., Pacifico, M., and Pujals, E. (2004). Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers. Annals of Mathematics, 160:375–432. | spa |
dc.relation.references | Morales, C. and Pacifico, M. J. (2004). Sufficient conditions for robustness of attractors. Pacific journal of mathematics, 216(2):327–342. | spa |
dc.relation.references | Morales, C. and Pacifico, M. J. (2007). A spectral decomposition for singular-hyperbolic sets. Pacific Journal of Mathematics, 229(1):223–232. | spa |
dc.relation.references | Morales, C. A. (2004). A note on periodic orbits for singular-hyperbolic flows. Discrete & Continuous Dynamical Systems-A, 11(2&3):615. | spa |
dc.relation.references | Palis, J. and Takens, F. (1993). Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations, volume 35 of cambridge studies in advanced mathematics. | spa |
dc.relation.references | Robinson, C. (1976). Structural stability of c1 diffeomorphisms. Journal of Differential Equations, 22(1):28–73. | spa |
dc.relation.references | Sánchez Rubio, Y. A. (2020). On sectional-hyperbolic sets. Bogotá-Ciencias-Doctorado en Ciencias-Matemáticas | spa |
dc.relation.references | Smale, S. et al. (1967). Differentiable dynamical systems. Bulletin of the American mathematical Society, 73(6):747–817. | spa |
dc.rights | Derechos reservados al autor, 2022 | spa |
dc.rights.accessrights | info:eu-repo/semantics/openAccess | spa |
dc.rights.license | Reconocimiento 4.0 Internacional | spa |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | spa |
dc.subject.ddc | 510 - Matemáticas::515 - Análisis | spa |
dc.subject.other | Singularidades (Matemáticas) | spa |
dc.subject.other | Singularities (Mathematics) | eng |
dc.subject.proposal | Descomposición espectral | spa |
dc.subject.proposal | Conjunto parcialmente hiperbólico | spa |
dc.subject.proposal | Conjunto singular hiperbólico | spa |
dc.subject.proposal | Clases homoclínicas | spa |
dc.subject.proposal | Spectral decomposition | eng |
dc.subject.proposal | Partially hyperbolic set | eng |
dc.subject.proposal | Singular-hyperbolic set | eng |
dc.subject.proposal | Homoclinic classes | eng |
dc.subject.spines | Análisis numérico | spa |
dc.title | Una descomposición espectral para conjuntos singulares hiperbólicos | spa |
dc.title.translated | A spectral decomposition for singular-hyperbolic sets | eng |
dc.type | Trabajo de grado - Maestría | spa |
dc.type.coar | http://purl.org/coar/resource_type/c_bdcc | spa |
dc.type.coarversion | http://purl.org/coar/version/c_ab4af688f83e57aa | spa |
dc.type.content | Text | spa |
dc.type.driver | info:eu-repo/semantics/masterThesis | spa |
dc.type.redcol | http://purl.org/redcol/resource_type/TM | spa |
dc.type.version | info:eu-repo/semantics/acceptedVersion | spa |
dcterms.audience.professionaldevelopment | Estudiantes | spa |
dcterms.audience.professionaldevelopment | Maestros | spa |
dcterms.audience.professionaldevelopment | Público general | spa |
oaire.accessrights | http://purl.org/coar/access_right/c_abf2 | spa |
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