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http://hdl.handle.net/2445/102599
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DC Field | Value | Language |
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dc.contributor.advisor | Fagella Rabionet, Núria | - |
dc.contributor.advisor | Fontich, Ernest, 1955- | - |
dc.contributor.author | Berenguel Montoro, Rubén | - |
dc.contributor.other | Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi | - |
dc.date.accessioned | 2016-10-14T16:26:23Z | - |
dc.date.available | 2016-10-14T16:26:23Z | - |
dc.date.issued | 2016-02-02 | - |
dc.identifier.uri | http://hdl.handle.net/2445/102599 | - |
dc.description.abstract | [eng] In this thesis we consider two different problems in the theory of dynamical systems. Dynamical systems cover a wide array of subjects, from finite dimensional to infinite dimensional, from analytic to statistical viewpoints and through all gradations in-between. No matter the aspect or tool considered, the study of any dynamical system is concerned in some way or another with the evolution of points through the action of a map. The simplest question to ask of a dynamical system is then which points are invariant? Once we have an answer to this question we can proceed to study the dynamics in a neighborhood of them. In general we find invariant subsets containing the fixed point which provide very relevant information. | - |
dc.description.abstract | [cat] En aquest treball considerem dos problemes en la teoria dels sistemes dinàmics. El camp dels sistemes dinàmics abarca un ampli espectre de temes, des de sistemes finit dimensionals a infinit dimensionals, des de punts de vista analítics a estadístics, amb totes les possibles gradacions intermitges. Obviant l’aspecte o eina considerats, l’estudi de qualsevol sistema dinàmic es centra, d’una manera o una altra, en l’estudi de l’evolució de punts sota l’acció d’una aplicación. La pregunta més simple que podem fer-li a un sistema dinàmic és: ¿llavors quins punts són invariants? Un cop en tenim una resposta podem passar a estudiar la dinàmica en un entorn d’ells. En general, hi trobem conjunts invariants que contenen els punts fixos, i que ens proveeixen d’informació molt rellevant. | - |
dc.format.extent | 236 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Universitat de Barcelona | - |
dc.rights | cc-by-nc, (c) Berenguel, 2016 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/3.0/ | - |
dc.source | Tesis Doctorals - Departament - Matemàtica Aplicada i Anàlisi | - |
dc.subject.classification | Sistemes dinàmics diferenciables | - |
dc.subject.classification | Invariants | - |
dc.subject.classification | Teoria dels reticles | - |
dc.subject.classification | Tor (Geometria) | - |
dc.subject.classification | Pertorbació (Matemàtica) | - |
dc.subject.classification | Varietats (Matemàtica) | - |
dc.subject.classification | Funcions holomorfes | - |
dc.subject.other | Differentiable dynamical systems | - |
dc.subject.other | Invariants | - |
dc.subject.other | Lattice theory | - |
dc.subject.other | Torus (Geometry) | - |
dc.subject.other | Perturbation (Mathematics) | - |
dc.subject.other | Manifolds (Mathematics) | - |
dc.subject.other | Holomorphic functions | - |
dc.title | The Parametrisation method for invariant manifolds of tori in Skew-product lattices and an entire transcendental family with a persistent Siegel disk | - |
dc.type | info:eu-repo/semantics/doctoralThesis | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.date.updated | 2016-10-14T16:26:28Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
dc.identifier.tdx | http://hdl.handle.net/10803/396126 | - |
Appears in Collections: | Tesis Doctorals - Departament - Matemàtica Aplicada i Anàlisi |
Files in This Item:
File | Description | Size | Format | |
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RBM_THESIS.pdf | 12.6 MB | Adobe PDF | View/Open |
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