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http://hdl.handle.net/2445/185116
Title: | El mètode de la parametrització per a varietats invariants d’aplicacions |
Author: | Garriga i Xirgu, Meritxell |
Director/Tutor: | Fontich, Ernest, 1955- |
Keywords: | Espais de Banach Treballs de fi de grau Anàlisi funcional Sistemes dinàmics diferenciables Teoria d'operadors Banach spaces Bachelor's theses Functional analysis Differentiable dynamical systems Operator theory |
Issue Date: | 20-Jun-2021 |
Abstract: | [en] In this project we will study the parameterization method for invariant manifolds of discrete dynamical systems, a method introduced by X. Cabré, E. Fontich and R. de la Llave in [1, 2]. From a theoretical point of view, we will study and demonstrate the parameterization method for 1-dimensional invariant manifolds, presenting first of all the necessary results to develop this method. Then, from a more practical point of view, we will use the programming language C to create a program that uses the parameterization method to find different 1-dimensional invariant manifolds, applying it on two discrete dynamical systems. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Ernest Fontich |
URI: | http://hdl.handle.net/2445/185116 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_meritxell_garriga_i_xirgu.pdf | Memòria | 760.37 kB | Adobe PDF | View/Open |
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