2026-04-13T03:04:17Zhttps://recercat.cat/oai/request

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

00925njm 22002777a 4500 dc Deulofeu Matas, Pol author 2020-07 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. 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 A study on the generation of chaos due to the presence of smale horseshoes in dynamical systems with a homoclinic orbit