Exploració per altres contribucions "Martín de la Torre, Pablo"
Ara es mostren els items 1-12 de 12
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A study on the generation of chaos due to the presence of smale horseshoes in dynamical systems with a homoclinic orbit
(Universitat Politècnica de Catalunya, 2020-07)
Projecte Final de Màster Oficial
Accés obertOne of the fundamental problems in dynamical systems is the detection and characterisation of chaotic behaviours. In this work we will focus on chaos induced by what is called the Smale horseshoe. Smale horseshoes frequently ... -
Asymptotic size of Herman Rings using quasiconformal surgery
(Universitat Politècnica de Catalunya, 2016-07)
Treball Final de Grau
Accés obertThis thesis gives an introduction to the theory of quasiconformal surgery. To that end, we consider the complexification of the Arnol'd standard family of circle maps. These functions are analytically linearisable under ... -
Computation of periodic orbits and their invariant manifolds in the RTBP
(Universitat Politècnica de Catalunya, 2014-07)
Projecte Final de Màster Oficial
Accés obertThis project is a study of the RTBP, in particular of a modification of this problem devised to study orbits of the Moon. Some parts of the project are done analytically while others numerically. The analytical part focuses ... -
Computation of the invariant manifolds of infinity in the restricted circular planar three body problem with the parametrization method
(Universitat Politècnica de Catalunya, 2017-05)
Projecte Final de Màster Oficial
Accés obertThis work analyses the parabolic stable manifolds of the periodic orbits at infinity for the Restricted Planar Circular Three Body Problem. Using the parametrization method we prove the existence of such manifold and we ... -
La constant de Feigenbaun
(Universitat Politècnica de Catalunya, 2018-07)
Treball Final de Grau
Accés obertAquest treball comença amb una petita introducció a la teoria de bifurcacions amb un exemple d'aplicació unimodal. Després, es presenten els resultats teòrics que permeten entendre com es produeix la cascada de doblament ... -
El mapa de la separatriu i les seves aplicacions
(Universitat Politècnica de Catalunya, 2023-06)
Treball Final de Grau
Accés obertL’estudi del caos en sistemes dinàmics, en particular hamiltonians, va motivar la creació del mapa de la separatriu. Aquest es va originar a la segona meitat del segle XX gràcies als físics Zaslavskii i Shilnikov, que ... -
On the length spectrum of analytic convex billiard tables
(Universitat Politècnica de Catalunya, 2011)
Projecte Final de Màster Oficial
Accés obertBilliard maps are a type of area-preserving twist maps and, thus, they inherit a vast num-ber of properties from them, such as the Lagrangian formulation, the study of rotational invariant curves, the types of periodic ... -
On the number of periodic orbits in billiards with flat points
(Universitat Politècnica de Catalunya, 2022-01)
Projecte Final de Màster Oficial
Accés obertA billiard is a map that describes the motion of a ball without mass in a closed region on the plane such that the collisions with the boundary are elastic. The region where the ball moves is the billiard table. In this ... -
Quadratic differential systems with a weak focus of first order and a finite saddle-node
(Universitat Politècnica de Catalunya, 2023-06)
Projecte Final de Màster Oficial
Accés obertPlanar quadratic differential systems occur in many areas of applied mathematics. Although more than one thousand papers were written on these systems, a complete understanding of this class is still missing. Classical ... -
Regularization of the triple collision in the collinear three body problem
(Universitat Politècnica de Catalunya, 2019-07)
Projecte Final de Màster Oficial
Accés obertThis is a work about the collision of 3 celestial bodies which are aligned in a straight line, by following Newton's Gravitational Law. There is an introduction which shows the most important items of the general N-Body ... -
Singular phenomena in the length spectrum of analytic convex curves
(Universitat Politècnica de Catalunya, 2015-07-06)
Tesi
Accés obertConsider the billiard map defined inside an analytic closed strictly convex curve Q. Given q>2 and 0<p<q relatively prime integers, there exist at least two (p,q)-periodic trajectories inside Q. The main goal of this thesis ... -
Transport and stochastic behaviour in the three body problem
(Universitat Politècnica de Catalunya, 2021-07)
Projecte Final de Màster Oficial
Accés obertIn this Master s thesis we study chaos and diffusion in two different problems of celestial mechanics. More concretely, the Sitnikov problem and the restricted planar elliptic three-body problem. The results we present ...
