Growth index and statefinder diagnostic of Oscillating Dark Energy

We study is some detail the Cosmology of Oscillating Dark Energy described by concrete equations-of-state investigated recently in the literature. In particular, at the background level we compute the statefinder parameters, while at the level of linear cosmological perturbations we compute the growth index $\gamma$ as well as the combination parameter $A=f{\sigma }_8$. The comparison with $\mathrm{\Lambda }$CDM is made as well.