dc.contributor | Baldomá Barraca, Inmaculada |
dc.contributor | Martín de la Torre, Pablo |
dc.contributor.author | Deulofeu Matas, Pol |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2020-07-30T17:21:54Z |
dc.date.available | 2020-07-30T17:21:54Z |
dc.date.issued | 2020-07 |
dc.identifier.uri | http://hdl.handle.net/2117/328114 |
dc.description.abstract | One 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 appear, but not exclusively, in the hyperbolic context and in what is known as the Sil'nikov Phenomenon. We will also present a generalization of the described phenomenons to systems with parabolic points. |
dc.language.iso | eng |
dc.publisher | Universitat Politècnica de Catalunya |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/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 | Chaos |
dc.subject.other | Smale horseshoe Sil'nikov variables |
dc.subject.other | Hyperbolic points |
dc.subject.other | Parabolic points |
dc.title | A study on the generation of chaos due to the presence of smale horseshoes in dynamical systems with a homoclinic orbit |
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-1857 |
dc.rights.access | Open Access |
dc.date.updated | 2020-07-17T09:24:36Z |
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) |