Kuramoto Model for Oscillators with Fractional Frequencies Ratios in Circuit Analysis Application

The problems of joint application of Kuramoto model and circuit simulation algorithms are considered. The method to evaluate the model parameters for practical oscillator circuits is proposed. The parameters of oscillators are represented by harmonics of their periodic steady-state solutions and perturbation projection vectors. The parameters of couplings are defined by their frequency dependent transfer functions. The developed approach for oscillators with close frequencies is extended to the general case when the ratios of the oscillators’ natural frequencies are close to rational fractions.