  This paper analyses the Hamiltonian model of drift waves which describes the
chaotic transport of particles in the plasma confinement. With one drift wave
the system is integrable and it presents stable orbits. When one wave is added
the system may or may not be integrable depending on the phase of each wave
velocity. If the two waves have the same phase velocity, the system is
integrable. When the phase velocities between the two waves are different, the
system shows chaotic behaviour. In this model we add a small dissipation. In
the presence of a weak dissipation, for different initial conditions, we
observe transient orbits which converge to periodic attractors.
