The Merging Technique to Simulate Synchronization Mode of Coupled Oscillators

Abstract:
New approach is applied to the analysis of synchronized Kuramoto oscillators. The approach is based on the technique of merging the oscillator models. This new technique provides computational efficiency due to the developed transformation of the pair of synchronized oscillators into single Kuramoto oscillator. Analytical expressions are derived that define the characteristics of merged oscillators, the transform of coupling functions and the sequence of merging operations. The results of numerical experiments are presented.