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Title: Obstructions to the integrability of hamiltonian systems from differential Galois theory
Author: Ferrer Campo, Àlex
Director/Tutor: Simó, Carles
Keywords: Teoria de Galois
Treballs de fi de grau
Sistemes hamiltonians
Equacions diferencials algebraiques
Galois theory
Bachelor's theses
Hamiltonian systems
Differential-algebraic equations
Issue Date: 18-Jan-2016
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.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Carles Simó
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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memoria.pdfMemòria26.82 MBAdobe PDFView/Open
monodromy_integration_plots.nbMonodromy integration plots2.35 MBUnknownView/Open
torus.nbTorus10.79 MBUnknownView/Open

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