Carregant...
Tipus de document
Treball de fi de grauData de publicació
Llicència de publicació
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/62206
Aproximació de corbes invariants de difeomorfismes
Títol de la revista
Autors
Director/Tutor
ISSN de la revista
Títol del volum
Recurs relacionat
Resum
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.
Descripció
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2014, Director: Àngel Jorba i Monte
Matèries (anglès)
Citació
Citació
GIMENO I ALQUÉZAR, Joan. Aproximació de corbes invariants de difeomorfismes. [consulta: 25 de febrer de 2026]. [Disponible a: https://hdl.handle.net/2445/62206]