  We investigate several dynamical regimes characterizing a bosonic binary
mixture loaded in a ring trimer, with particular reference to the persistence
of demixing. The degree of phase separation is evaluated by means of the
"Entropy of mixing", an indicator borrowed from Statistical Thermodynamics.
Three classes of demixed stationary configurations are identified and their
energetic and linear stability carefully analyzed. An extended set of
trajectories originating in the vicinity of fixed points are explicitly
simulated and chaos is shown to arise according to three different mechanisms.
In many dynamical regimes, we show that chaos is not able to disrupt the order
imposed by phase separation, i.e. boson populations, despite evolving in a
chaotic fashion, do not mix. This circumstance can be explained either with
energetic considerations or in terms of dynamical restrictions.
