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We consider a spatially flat FLRW universe. We assume that it is filled withdark energy in the form of logotropic dark fluid coupled with dark matter inthe form of a perfect fluid having a barotropic equation of state. We employdynamical system tools to obtain a complete qualitative idea of the evolutionof such a universe. It is interesting to note that we ought to consider anapproximation for the pressure of the logotropic dark fluid in the form of aninfinite series so as to be able to construct the autonomous system requiredfor a dynamical system study. This series form provides us with a power law inthe rest-mass energy density of the logotropic dark fluid. We compute thecritical points of the autonomous system and analyze these critical points byapplying linear stability theory. Our analysis reveal a scenario of late-timeaccelerated universe dominated by the logotropic fluid which behaves ascosmological constant, preceded by an intermediate phase of the Universedominated by logotropic fluid which behaves as dark matter in the form ofperfect fluid. Moreover, it also crosses the phantom divide line.

Dynamical system analysis of logotropic dark fluid with a power law in the rest-mass energy density