Complex periodic oscillations with small amplitude oscillations close to the maximal value of a large amplitude oscillation followed by other small amplitude oscillations close to the minimal value of the next largest amplitude oscillation are found in the Belousov-Zhabotinsky (B-Z) reaction (bromate-malonic acid-ferroin) in CSTR. Oscillations showing identical patterns are obtained in a simple model proposed recently for a qualitative description of transient and asymptotic oscillations observed in the B-Z system.