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tfg_meritxell_garriga_i_xirgu.pdf (760.37 KB)

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Bachelor thesis

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2021-06-20

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cc-by-nc-nd (c) Meritxell Garriga i Xirgu, 2021
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/185116

El mètode de la parametrització per a varietats invariants d’aplicacions

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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.

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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Ernest Fontich

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Espais de Banach, Treballs de fi de grau, Anàlisi funcional, Sistemes dinàmics diferenciables, Teoria d'operadors

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Banach spaces, Bachelor's theses, Functional analysis, Differentiable dynamical systems, Operator theory

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

GARRIGA I XIRGU, Meritxell. El mètode de la parametrització per a varietats invariants d’aplicacions. [consulted: 15 of June of 2026]. Available at: https://hdl.handle.net/2445/185116

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