2026-04-18T04:00:40Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/3281142025-07-24T18:04:04Zcom_2072_1033col_2072_452951

A study on the generation of chaos due to the presence of smale horseshoes in dynamical systems with a homoclinic orbit Deulofeu Matas, Pol Universitat Politècnica de Catalunya. Departament de Matemàtiques Baldomá Barraca, Inmaculada Martín de la Torre, Pablo Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics Differentiable dynamical systems Dynamical systems Chaos Smale horseshoe Sil'nikov variables Hyperbolic points Parabolic points Sistemes dinàmics diferenciables Classificació AMS::37 Dynamical systems and ergodic theory::37D Dynamical systems with hyperbolic behavior 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. 2020-07 Master thesis https://hdl.handle.net/2117/328114 FME-1857 eng http://creativecommons.org/licenses/by-nc-sa/3.0/es/ Open Access application/pdf Universitat Politècnica de Catalunya