  There are various cosmological models with polytropic equation of state
associated to dark energy. Polytropic EoS has important applications in
astrophysics, therefore a study of it on cosmological framework continues to be
interesting. From the other hand, there are various forms of interactions
phenomenologically involved into the darkness of the universe able to solve
important cosmological problems. This is a motivation for us to perform a phase
space analysis of various cosmological scenarios where non linear interacting
polytropic gas models are involved. Dark matter is taken to be a pressureless
fluid.
