IEEE Transactions on Circuits and Systems Part I: Regular Papers
Synchronization analysis of two weakly coupled oscillators through a PPV macromodel
IEEE Transactions on Circuits and Systems Part I: Regular Papers
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Analysis and design of injection-locked frequency dividers by means of a phase-domain macromodel
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Divide-by-three injection-locked frequency dividers with direct forcing signal
Journal of Electrical and Computer Engineering
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We investigate the mechanism leading to synchronization in injection-locked frequency dividers using methods of asymptotic analysis. We introduce a response function which allows for qualitative evaluation and intuitive interpretation of the locking phenomenon. We show that the linear asymptotic approximation predicts the locking intervals with high accuracy for a class of models and parameter sets reported in the literature. The accuracy of the approach is evaluated by comparing the theoretical prediction with numerical results. We use phase space analysis to study the case where the limit cycle is dominated by a strongly anharmonic oscillation.