The dynamics of three coupled bosonic wells containing N bosons is investigated within a standard semiclassical picture based on the coherent-state method.
Various periodic solutions (configured as π-like, dimerlike and vortex states) representing collective modes are obtained analitically when the fixed points of trimer dynamics are identified on the N=const submanifold in the phase space.
The system dynamics in the neighbourhood of periodic orbits (associated to fixed points) is studied via numeric integration of trimer motion equations thus revealing a diffused chaotic behavior (not excluding the presence of regular orbits), macroscopic effects of population-inversion and self-trapping.