  In this work, we present the basic theoretical efforts that are known in
order to deal with non-trivial solutions of the Van der Pol oscillator, such as
theory of average, successive approximations and symbolic dynamics. We also
construct a set of diagrams (bifurcation, 2D and 3D Fourier power spectra) and
maps, based on numerical investigations, corresponding to the expected
theoretical results. Furthermore we examine closely the existence of chaotic
attractors, both theoretically (with symbolic dynamics) and numerically (period
doubling cascades). We show how we constructed sound files, based on the
Fourier spectra, each one corresponding to a periodic, an almost periodic and a
chaotic solution, as one of the parameters of the system alters.
