Dynamical Systems Analysis of K-essence Model
  In the present work we investigate the stability of the k-essence models
allowing upto quadratic terms of the kinetic energy. The system of field
equations is written as an autonomous system in terms of dimensionless
variables and the stability criteria of the equilibria have been extensively
investigated. The results strongly indicate that cosmologically consistent
models dynamically evolve towards the quintessence model, a stable solution
with a canonical form of the dark energy.
