A Simulation Tool for Analysis of Oscillator Ensembles Defined by Kuramoto Model

Technique to Simulate an Oscillator Ensemble Represented by the Kuramoto Model

“…In comparison with paper [1] the contribution involves additional simulation example to illustrate capabilities of the developed approach for analyzing oscillator ensembles.…”

“…due to the compensation of nonzero terms by the change of fundamentals in (1). Similarly, diagonal entries are also assumed to be ( ) = 0 for all k.…”

“…The figure 3aN represents the version with the index N of the intermediate oscillator between reverse couplings (Figure 3a1 is the version with one coupling). All couplings in each ensemble a1-a8 are defined by sine functions (2) with the same coupling factor (1) = ρ (for all m, n).…”

“…The natural frequencies of the oscillators are evenly distributed in the interval [98 -102] Hz (base frequency -100 Hz). Each coupling function in an open loop 1-2-3-4-5 contains only the first harmonic with zero phase shift (1) = 0 and coupling factors are (1) =3Hz ( 1) =0.03).…”

“…This paper is an extension of work originally presented at the 24th European Conference on Circuit Theory and Design, ECCTD 2020 [1] and this is refinement of work where we proposed simulation tool for analyzing ensembles of oscillators.…”