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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
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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