Dynamical Attractor of Modified Chaplygin Gas

The dynamical attractor of the modified Chaplygin gas (MCG) model is studied. The dynamical analysis indicates that the phase ω_MCG=-1 is a
dynamical attractor and the equation of state of the MCG approaches it from either ω_MCG> -1 or ω_MCG<-1, independent of the choice of its initial densityparameter and the ratio of pressure to critical energy density. Therefore our universe will not end up with Big Rip in the future. Moreover, the evolutions of the density parameters Ωγ and Ω_MCG are quite different. For
different initial values of x and y, Ωγ decreases and Ω_MCG increases as time increases, and they will eventually approach Ωγ=0 and Ω_MCG=1, i.e., de Sitter phase. This implies that when there is not the interaction (i.e., the energy transfer) between the barotropic background fluid and modified Chaplygin gas (MCG), the behaviour of the MCG will be similar to λCDM in the future.