  The oscillating scenario of route to Lambda was recently proposed by us
arXiv:0704.1651 as an alternative to a cosmological constant in a explanation
of the current accelerating universe. In this scenario phantom scalar field
conformally coupled to gravity drives the accelerating phase of the universe.
In our model $\Lambda$CDM appears as a global attractor in the phase space. In
this paper we investigate observational constraints on this scenario from
recent measurements of distant supernovae type Ia, CMB R shift, BAO and $H(z)$
observational data. The Bayesian methods of model selection are used in
comparison the model with concordance $\Lambda$CDM one as well as with model
with dynamical dark energy parametrised by linear form. We conclude that
$\Lambda$CDM is favoured over FRW model with dynamical oscillating dark energy.
Our analysis also demonstrate that FRW model with oscillating dark energy is
favoured over FRW model with decaying dark energy parametrised in linear way.
