Dijous 11 de juny, el Dipòsit Digital no estarà operatiu de 15:00 a 17:00 h per tasques de manteniment. Disculpeu les molèsties.
El jueves 11 de Junio, el Dipòsit Digital no estará operativo de 15:00 a 17:00 h debido a tareas de mantenimiento. Disculpen las molestias.
Thursday, Jun 11th, the Digital Repository will be unavailable due to a system update.

Files

memoria.pdf (26.19 MB)
monodromy_integration_plots.nb (2.29 MB)
torus.nb (10.54 MB)

Document type

Bachelor thesis

Publication date

2016-01-18

Publication license

cc-by-nc-nd (c) Àlex Ferrer Campo, 2016
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/97820

Obstructions to the integrability of hamiltonian systems from differential Galois theory

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

Abstract

Differential Galois Theory opens the door to a fairly recent field of study. Revisiting the ideas behind Galois theory of algebraic equations in polynomials, we will learn on the development of an analogous approach applied to differential equations. We will provide links with Dynamical Systems in terms of integrability, in particular, of Hamiltonian Systems. Finally, we will apply our results to a particular example and design our own original strategy to apply the theory.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Carles Simó

Subject

Teoria de Galois, Treballs de fi de grau, Sistemes hamiltonians, Equacions diferencials algebraiques, Polinomis

Subject (English)

Galois theory, Bachelor's theses, Hamiltonian systems, Differential-algebraic equations, Polynomials

Citation

Collections

Treballs Finals de Grau (TFG) - Matemàtiques

Citation

FERRER CAMPO, Àlex. Obstructions to the integrability of hamiltonian systems from differential Galois theory. [consulted: 11 of June of 2026]. Available at: https://hdl.handle.net/2445/97820

Export metadata

JSON - METS

Share record