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Introducció a la dinàmica simbòlica. Aplicació al Problema de Sitnikov

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dc.contributor Fontich, Ernest, 1955-
dc.creator Toloba López-Egea, Andrea
dc.date 2019-01-28T12:51:33Z
dc.date 2019-01-28T12:51:33Z
dc.date 2018-06-27
dc.date.accessioned 2024-12-16T10:27:14Z
dc.date.available 2024-12-16T10:27:14Z
dc.identifier http://hdl.handle.net/2445/127660
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/22127
dc.description Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: 2018
dc.description [en] This dissertation is divided into two parts. In the first part, we study the shift homeomorphism for a finite or denumerable alphabet set and we give sufficient conditions to conjugate an application in a Cantor subset of the domain with the shift. These conjugations have very important dynamic consequences. In the second part, we apply the results to Sitnikov’s problem. This is a restricted three body problem in which two bodies describe elliptic orbits while the center of mass is at rest. The third body is moving on a line perpendicular to the plane of motion of the first two bodies and going through the center of mass. The goal is to describe the motion of the third mass point which is periodically excited by the first two. This way we get the existence of a wide variety of oscillatory movements for this problem.
dc.format 43 p.
dc.format application/pdf
dc.language cat
dc.rights cc-by-nc-nd (c) Andrea Toloba López-Egea, 2018
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Matemàtiques
dc.subject Homeomorfismes
dc.subject Dinàmica topològica
dc.subject Problema dels tres cossos
dc.subject Sistemes dinàmics hiperbòlics
dc.subject Treballs de fi de grau
dc.subject Homeomorphisms
dc.subject Topological dynamics
dc.subject Three-body problem
dc.subject Hyperbolic dynamical systems
dc.subject Bachelor's theses
dc.title Introducció a la dinàmica simbòlica. Aplicació al Problema de Sitnikov
dc.type info:eu-repo/semantics/bachelorThesis


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