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