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Obstructions to the integrability of hamiltonian systems from differential Galois theory

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dc.contributor Simó, Carles
dc.creator Ferrer Campo, Àlex
dc.date 2016-04-25T11:00:52Z
dc.date 2016-04-25T11:00:52Z
dc.date 2016-01-18
dc.date.accessioned 2024-12-16T10:22:25Z
dc.date.available 2024-12-16T10:22:25Z
dc.identifier http://hdl.handle.net/2445/97820
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/14314
dc.description Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Carles Simó
dc.description 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.
dc.format 54 p.
dc.format application/pdf
dc.language eng
dc.rights cc-by-nc-nd (c) Àlex Ferrer Campo, 2016
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Matemàtiques
dc.subject Teoria de Galois
dc.subject Treballs de fi de grau
dc.subject Sistemes hamiltonians
dc.subject Equacions diferencials algebraiques
dc.subject Polinomis
dc.subject Galois theory
dc.subject Bachelor's theses
dc.subject Hamiltonian systems
dc.subject Differential-algebraic equations
dc.subject Polynomials
dc.title Obstructions to the integrability of hamiltonian systems from differential Galois theory
dc.type info:eu-repo/semantics/bachelorThesis


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