Jorba i Monte, ÀngelFont i Bergadà, Salvador2024-05-092024-05-092024-01-17https://hdl.handle.net/2445/210991Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2024, Director: Àngel Jorba i Monte[en] The disturbed pendulum’s systems have some invariant objects, which in this project are studied in some cases. In order to do it, we start by understanding the Floquet’s theorem and some numerical methods for integrating differential equations. These notions are applied afterwards in pinpointing periodic orbits, studying its stability and, were that to happen, the invariant manifolds around them.76 p.application/pdfcatcc-by-nc-nd (c) Salvador Font i Bergadà, 2023http://creativecommons.org/licenses/by-nc-nd/3.0/es/Sistemes dinàmics diferenciablesPertorbació (Matemàtica)Anàlisi numèricaTreballs de fi de grauDifferentiable dynamical systemsPerturbation (Mathematics)Numerical analysisBachelor's thesesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess