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http://hdl.handle.net/2445/210991
Title: | Objectes invariants en un pèndol pertorbat |
Author: | Font i Bergadà, Salvador |
Director/Tutor: | Jorba i Monte, Àngel |
Keywords: | Sistemes dinàmics diferenciables Pertorbació (Matemàtica) Anàlisi numèrica Treballs de fi de grau Differentiable dynamical systems Perturbation (Mathematics) Numerical analysis Bachelor's theses |
Issue Date: | 17-Jan-2024 |
Abstract: | [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. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2024, Director: Àngel Jorba i Monte |
URI: | http://hdl.handle.net/2445/210991 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_font_i_bergada_salvador.pdf | Memòria | 912.66 kB | Adobe PDF | View/Open |
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