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Title: Numerical methods in classical mechanics: differential equations
Author: Molins Marconi, Germán F.
Director/Tutor: González-Miranda, J. M. (Jesús Manuel)
Keywords: Mecànica
Equacions diferencials
Treballs de fi de grau
Differential equations
Bachelor's thesis
Issue Date: Jun-2018
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
Note: Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2018, Tutor: Jesús M. González Miranda
Appears in Collections:Treballs Finals de Grau (TFG) - Física

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