Stability analysis of analog frequency dividers in the quasi-periodic regime

Abstract : A simulation technique allowing the determination of all the steady state regimes of synchronized devices, including the quasi-periodic operation, is presented here. Combined with a continuation method, it provides the circuit quasi-periodic solution paths as a function of any parameter of interest. The different bifurcation loci on a two-parameters space, obtained here both from periodic and quasi-periodic simulations, allow an easy prediction acid deep understanding of the circuit behavior. By means of the proposed method, the possible working regimes of a MMIC analog frequency divider have been determined and experimentally confirmed.