A non-linear oscillator with quasi-harmonic behaviour: two- and<i>n</i>-dimensional oscillators
A non-linear oscillator with quasi-harmonic behaviour: two- and<i>n</i>-dimensional oscillators
A non-linear two-dimensional system is studied by making use of both the Lagrangian and the Hamiltonian formalisms. This model is obtained as a two-dimensional version of a one-dimensional oscillator previously studied at the classical and also at the quantum level. First, it is proved that it is a super-integrable system, …