  Euclid is a future space-based mission that will constrain dark energy with
unprecedented accuracy. Its photometric component is optimized for Weak Lensing
studies, while the spectroscopic component is designed for Baryon Acoustic
Oscillations (BAO) analysis. We use the Fisher matrix formalism to make
forecasts on two quintessence dark energy models with a dynamical equation of
state that leads to late-time oscillations in the expansion rate of the
Universe. We find that Weak Lensing will place much stronger constraints than
the BAO, being able to discriminate between oscillating models by measuring the
relevant parameters to $1\sigma$ precisions of 5 to $20\%$. The tight
constraints suggest that Euclid data could identify even quite small late-time
oscillations in the expansion rate of the Universe.
