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Existence of invariant tori in skew-product systems: A computer assisted approach
| dc.contributor | Lázaro Ochoa, José Tomás |
| dc.contributor.author | Sandín Vidal, Eric |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| dc.date.accessioned | 2020-02-25T13:54:08Z |
| dc.date.available | 2020-02-25T13:54:08Z |
| dc.date.issued | 2020-01 |
| dc.identifier.uri | http://hdl.handle.net/2117/178616 |
| dc.description.abstract | This work is a computer assisted approach to the study of invariant manifolds in skew-product dynamical systems. More specifically, the existence of an invariant tori under a quasi-periodic perturbation of our system. The goal is to use a computer to prove the theorem that states that a fiberwise hyperbolic invariant tori exists given an approximately invariant one that meets the required hypotheses. |
| dc.language.iso | eng |
| dc.publisher | Universitat Politècnica de Catalunya |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics |
| dc.subject.lcsh | Differentiable dynamical systems |
| dc.subject.other | Dynamical systems |
| dc.subject.other | Quasi periodic |
| dc.subject.other | Torus |
| dc.subject.other | Invariant |
| dc.title | Existence of invariant tori in skew-product systems: A computer assisted approach |
| dc.type | Master thesis |
| dc.subject.lemac | Sistemes dinàmics diferenciables |
| dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37D Dynamical systems with hyperbolic behavior |
| dc.identifier.slug | FME-1936 |
| dc.rights.access | Open Access |
| dc.date.updated | 2020-01-21T06:24:08Z |
| dc.audience.educationlevel | Màster |
| dc.audience.mediator | Universitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística |
| dc.audience.degree | MÀSTER UNIVERSITARI EN MATEMÀTICA AVANÇADA I ENGINYERIA MATEMÀTICA (Pla 2010) |
