In this work we study from the classical point of view the position-dependent mass (PDM) oscillators. The correspondence between the solutions of the PDM and the constant mass (CM) oscillator is obtained by means of the factorization of the Hamiltonian. The results are illustrated by considering the system with m(x) = m0(x² + a²), where we analyze its phase space trajectories.
harmonic oscillator; position dependent-mass; phase space
