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tfg_font_i_bergada_salvador.pdf (912.66 KB)

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Bachelor thesis

Publication date

2024-01-17

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cc-by-nc-nd (c) Salvador Font i Bergadà, 2023
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/210991

Objectes invariants en un pèndol pertorbat

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Abstract

[en] The disturbed pendulum’s systems have some invariant objects, which in this project are studied in some cases. In order to do it, we start by understanding the Floquet’s theorem and some numerical methods for integrating differential equations. These notions are applied afterwards in pinpointing periodic orbits, studying its stability and, were that to happen, the invariant manifolds around them.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2024, Director: Àngel Jorba i Monte

Subject

Sistemes dinàmics diferenciables, Pertorbació (Matemàtica), Anàlisi numèrica, Treballs de fi de grau

Subject (English)

Differentiable dynamical systems, Perturbation (Mathematics), Numerical analysis, Bachelor's theses

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

FONT I BERGADÀ, Salvador. Objectes invariants en un pèndol pertorbat. [consulted: 13 of August of 2026]. Available at: https://hdl.handle.net/2445/210991

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