  We study the generation of a kination-dominated phase in the context of a
quintessential model with an inverse-power-law potential and a Hubble-induced
mass term for the quintessence field. The presence of kination is associated
with an oscillating evolution of the quintessence field and the barotropic
index. We find that, in sizeable regions of the parameter space, a tracker
scaling solution can be reached sufficiently early to alleviate the coincidence
problem. Other observational constraints originating from nucleosynthesis, the
inflationary scale, the present acceleration of the universe and the
dark-energy-density parameter can be also met. The impact of this modified
kination-dominated phase on the thermal abundance of cold dark matter
candidates is investigated too. We find that: (i) the enhancement of the relic
abundance of the WIMPs with respect to the standard paradigm, crucially depends
on the hierarchy between the freeze-out temperature and the temperature at
which the extrema in the evolution of the quintessence field are encountered,
and (ii) the relic abundance of e-WIMPs takes its present value close to the
temperature at which the earliest extremum of the evolution of the quintessence
field occurs and, as a consequence, both gravitinos and axinos arise as natural
cold dark matter candidates. In the case of unstable gravitinos, the gravitino
constraint can be satisfied for values of the initial temperature well above
those required in the standard cosmology.
