Phantom cosmic dynamics: Tracking attractor and cosmic doomsday

Abstract

We study the dynamics of phantom model and give the conditions for potentials to admit tracking attractors, de Sitter attractors, and big rip attractors. In particular, we show that phantom models with exponential and inverse power law potentials do not admit the tracking attractor solution. The ``tachyonic'' stability of the system at/near the attractors as well as the quantum stability have been studied.