Linear and center manifold analysis of FRW cosmological model with variable equation of state in Lyra geometry

摘要

The present work deals with the dynamical evolution of flat FRW cosmological model with variable equation of state in Lyra geometry. We investigate the phase-plane analysis of our constructed model. The evolution of cosmological solutions is studied by using dynamical system techniques. Stability and viability of the model are discussed using linear Jacobian stability analysis for hyperbolic equilibrium points and center manifold theory for non-hyperbolic equilibrium points.