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http://hdl.handle.net/2445/62206
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DC Field | Value | Language |
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dc.contributor.advisor | Jorba i Monte, Àngel | - |
dc.contributor.author | Gimeno i Alquézar, Joan | - |
dc.date.accessioned | 2015-02-02T11:01:39Z | - |
dc.date.available | 2015-02-02T11:01:39Z | - |
dc.date.issued | 2014-06-24 | - |
dc.identifier.uri | http://hdl.handle.net/2445/62206 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2014, Director: Àngel Jorba i Monte | ca |
dc.description.abstract | This bachelor’s degree final thesis deals with what happens in the neighborhood of a equilibrium point of a differential equation which was added a periodic perturbation or a quasiperiodic perturbation. A first approximation, we will consider the case with a periodic map. After that, we will study the case with a quasiperiodic map. In both cases, the idea is to use a Poincar ́e’s map to find invariant manifolds around the equilibrium point of the initial differential equation. For doing it, we need new concepts that have not been seen throughout the bachelor as differential calculus in Banach spaces. Other results, however, are extension Theorems already seen throughout the bachelor but for Banach spaces, as the Stone-Weierstrass’Theorem. Finally, we have performed a library in C programming language that is optimized pursuing shared memory parallelism in certain parts of its code. In this part, we have applied concepts and results that have been learned in some subjects as operating systems or numerical methods. Some examples and results have been generated using the library and programs to display scientific data. | ca |
dc.format.extent | 51 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | cat | ca |
dc.rights | cc-by-nc-nd (c) Joan Gimeno I Alquézar, 2014 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es | - |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Equacions diferencials ordinàries | - |
dc.subject.classification | Treballs de fi de grau | - |
dc.subject.classification | Espais de Banach | ca |
dc.subject.classification | Sèries de Fourier | ca |
dc.subject.other | Ordinary differential equations | - |
dc.subject.other | Bachelor's theses | - |
dc.subject.other | Banach spaces | eng |
dc.subject.other | Fourier series | eng |
dc.title | Aproximació de corbes invariants de difeomorfismes | ca |
dc.type | info:eu-repo/semantics/bachelorThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques Programari - Treballs de l'alumnat |
Files in This Item:
File | Description | Size | Format | |
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codi_font.zip | Codi font | 10.28 MB | zip | View/Open |
memoria.pdf | Memòria | 1.01 MB | Adobe PDF | View/Open |
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