2026-04-17T06:33:40Zhttps://recercat.cat/oai/requestoai:recercat.cat:2117/3281142025-07-24T18:04:04Zcom_2072_1033col_2072_452951
RECERCAT
author
Deulofeu Matas, Pol
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.
http://creativecommons.org/licenses/by-nc-sa/3.0/es/ Open Access
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
Master thesis