AN IDEAL DOUBLE-IMPULSE MODEL OF A CLOCK WITH AN ANALYTIC STRONGLY ISOCHRONOUS NATURAL-MODE OSCILLATOR

A ''double-impulse'' model of a clock with a single degree of freedom and one counter impulse and one pushing impulse in the period is const ructed. A non-linear oscillator with a ''natural period'', which is an alytic with respect to damping and a restoring force, is considered as the oscillatory system of the clock. In the model proposed, the traje ctory which ''enters'' the stationary point after a finite time plays a decisive role in the possibility of realizing the hard mode of self- excited oscillations which is customary in the case of real clocks. (C ) 1998 Elsevier Science Ltd. All rights reserved.