According ot previous studies, we may expect that slow oscillations can occur in dynamics of a parameterized family of systems in which a biochemical oscillator is coupled to a stationary systems. We introduce some numerical results that confirm our expectation. The results suggest that it is possible for slow oscillations to occur in dynamics of a system in which an active oscillatory unit is coupled to a passive medium, and that it is possible for circadian oscillations to arise from fast glycolytic oscillations in such a coupled system.