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Completely integrable systems on hamiltonian mechanics

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dc.contributor Mundet i Riera, Ignasi
dc.creator Gil Fuster, Elies M.
dc.date 2018-12-03T09:56:27Z
dc.date 2018-12-03T09:56:27Z
dc.date 2018-06-27
dc.date.accessioned 2024-12-16T10:27:09Z
dc.date.available 2024-12-16T10:27:09Z
dc.identifier http://hdl.handle.net/2445/126669
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/21958
dc.description Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: Ignasi Mundet i Riera
dc.description [en] During the last two centuries, the study of mechanics has enjoyed a remarkable evolution, in parallel with one of its main mathematical tools: symplectic geometry. In this text, some of the most important notions have been gathered for the understanding of the Liouville-Arnold Theorem on completely integrable systems. The final goal of this project is to give a new approach to this fundamental result; thus the theory presented is appropriately nourished with humble examples to be analyzed. During the work previous to the final composition, several sources about both the main and many neighboring topics had to be studied. The tools given here can bring interested readers to the further study of gigantic problems such as the restricted three body problem, perturbation theory, and infinite dimensional integrable systems.
dc.format 53 p.
dc.format application/pdf
dc.language eng
dc.rights cc-by-nc-nd (c) Elies M. Gil Fuster, 2018
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 Sistemes hamiltonians
dc.subject Geometria simplèctica
dc.subject Topologia
dc.subject Mecànica
dc.subject Treballs de fi de grau
dc.subject Hamiltonian systems
dc.subject Symplectic geometry
dc.subject Topology
dc.subject Mechanics
dc.subject Bachelor's theses
dc.title Completely integrable systems on hamiltonian mechanics
dc.type info:eu-repo/semantics/bachelorThesis


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