Exploració per altres contribucions "Baldomá Barraca, Inmaculada"
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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 ... -
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 ... -
Homoclinic and chaotic phenomena to L3 in the restricted 3-Body Problem
(Universitat Politècnica de Catalunya, 2022-11-25)
Tesi
Accés obert(English) The Restricted 3-Body Problem models the motion of a body of negligible mass under the gravitational influence of two massive bodies, called the primaries. If the primaries perform circular motions and the ... -
Study of invariant manifolds in two different problems : the Hopf-zero singularity and neural synchrony
(Universitat Politècnica de Catalunya, 2015-07-16)
Tesi
Accés obertThe main object of study of this thesis are invariant manifolds in the field of dynamical systems. We deal with two different and independent topics, namely, the study of exponentially small splitting of invariant manifolds ... -
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 ...