Potentially habitable planets within the habitable zone of M-dwarfs are affected by tidal interaction .
We studied the tidal evolution in GJ 667C using a numerical code we call TIDEV .
We reviewed the problem of the dynamical evolution focusing on the effects that a rheological treatment , different compositions and the inclusion of orbital perturbations , have on the spin-down time and the probability to be trapped in a low spin-orbit resonance .
Composition have a noticiable effect on the spin-down time , changing , in some cases , by almost a factor of 2 with respect to the value estimated for a reference Earth-like model .
We calculated the time to reach a low resonance value ( 3:2 ) for the configuration of 6 planets .
Capture probabilities are affected when assuming different compositions and eccentricities variations .
We chose planets b and c to evaluate the probabilities of capture in resonances below 5:2 for two compositions : Earth-like and Waterworld planets .
We found that perturbations , although having a secular effect on eccentricities , have a low impact on capture probabilities and nothing on spin-down times .
The implications of the eccentricity variations and actual habitability of the GJ 667C system are discussed .