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Nose-Hoover dynamics in a shaker.

We introduce a new class of systems based on the Nose-Hoover equations. We show that we can add time-dependent terms without destroying the measure and energy conservation properties of the initial system. These "shakers" are typically pseudoperiodic in time, i.e., depend on a collection of harmonic oscillators. We show by numerical examples that it strengthens the sampling properties of the initial system with respect to the Gibbs measure and helps the computation of averages in the canonical ensemble.