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Numerical methods in classical mechanics: differential equations

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

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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

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Numerical methods in classical mechanics: differential equations