An oscillating system includes two identical rotary oscillators each having a rotating mass and a vibratory spring. The rotating masses oscillate in phase opposition, and the two rotary oscillators have respective shafts mounted in spaced parallel relation in working plates. One end of each vibratory spring is connected to the associated rotating mass, and the opposite ends of the two vibratory springs are interconnected by an elastic intermediate spring part, and the two vibratory springs are wound in the same sense. The intermediate spring part extends substantially perpendicular to the shafts and is integral with the two springs. The springs may be helical springs or flat coil springs.