We study the dynamical properties of tracker quintessence models using a general parametrisation of their corresponding potentials , and show that there is a general condition for the appearance of a tracker behavior at early times .
Likewise , we determine the conditions under which the quintessence tracker models can also provide an accelerating expansion of the universe with an equation of state closer to -1 .
Apart from the analysis of the background dynamics , we also include linear density perturbations of the quintessence field in a consistent manner and using the same parametrisation of the potential , with which we show the influence they have on some cosmological observables .
The generalized tracker models are compared to observations , and we discuss their appropriateness to ameliorate the fine-tuning of initial conditions and their consistency with the accelerated expansion of the Universe at late times .