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Molins Marconi Germán Federico.pdf (982.74 KB)

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Bachelor thesis

Publication date

2018-06

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cc-by-nc-nd (c) Molins, 2018
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/125095

Numerical methods in classical mechanics: differential equations

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Abstract

A revision of different first order ODE numerical integration schemes is presented in the ambit of classical mechanics. Their performance is tested on a rescaled SHO, and their traits and effciency discussed. From these, an RK4 method is chosen to study a Duffng-Holmes oscillator. Its nonlinearity is shown to cause a period-doubling route to chaos through the exploration of a particular range of the forcing amplitude parameter using a bifurcation diagram

Description

Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2018, Tutor: Jesús M. González Miranda

Subject

Mecànica, Equacions diferencials, Treballs de fi de grau

Subject (English)

Mechanics, Differential equations, Bachelor's theses

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Treballs Finals de Grau (TFG) - Física

Citation

MOLINS MARCONI, Germán F. Numerical methods in classical mechanics: differential equations. [consulted: 12 of June of 2026]. Available at: https://hdl.handle.net/2445/125095

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