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We revise the dynamical properties of a class of cosmological models wherethe dark sector interacts through an interacting term that changes sign duringevolution. In particular, we obtain the critical points and we investigate theexistence and stability conditions for cosmological solutions, describingradiation, matter and dark energy dominated eras. We find that all the studiedmodels admit a stable critical point corresponding to an accelerated phase. Weuse background data to find the best fit parameters for one of the studiedmodels, resulting an interacting parameter with a definite sign within$1\sigma$ confidence level, consistent with the results of the dynamical systemanalysis. We also compute the statefinder parameters and plot the $r-q$ and$r-s$ planes, where we observe different trajectories when we vary theinteraction parameter for a specific model and when we vary the interactingscenario. We can in this sense distinguish among models, including$\Lambda$CDM.

Dynamics and statefinder analysis of a class of sign-changeable interacting dark energy scenarios