Dynamical System Analysis of Three Fluid cosmological Model.

In Friedman-Robertson-Walker flat spacetime, we consider a three fluid cosmological model which contains dark matter, dark energy and a perfect fluid with a linear equation of state. Dark matter is taken in form of dust and dark energy is described by a scalar field with a potential V(φ). Einstein’s field equations are reduced to an autonomous dynamical system by suitable redefinition of basic variables. Considering exponential potential for the scalar field, critical points are obtained. Lastly, stability of the critical points and cosmological implications are deduced. [ABSTRACT FROM AUTHOR]