During different stages of vigilance, the thalamus engages in a range of rhythmic activities from the slow (<1 Hz), delta (δ) (1–4 Hz) and spindle (7–14 Hz) waves that permeate the brain during sleep and anaesthesia to the faster oscillations in the alpha (α) and beta/gamma (β/γ) (>15 Hz) bands that occur during wakefulness. In recent years, it has been shown that several of these oscillations are associated with intrinsic rhythmic activity in individual thalamocortical (TC) neurons, with these intrinsic oscillations also being readily observable in recordings of TC neurons from thalamic slice preparations. In this chapter we will show how the dynamic-clamp technique provides an extremely useful means for studying the intricate cellular mechanisms and key properties of some of theses intrinsic oscillations. We will mainly focus on the intrinsic δ or so-called pacemaker (∼1–2 Hz) oscillation and the slow (<1 Hz) oscillation but will also briefly discuss how the dynamic-clamp technique can be utilized to study additional important oscillatory phenomena in the thalamus.