Abstract:This paper is a follow up to a previous work that presented an algorithm to efficiently find all of the equilibria of the Kuramoto model with nonuniform coupling described by a rank one matrix. The algorithm was shown experimentally to be more efficient than previously used methods, but its performance was not fully characterized. This paper analyzes the effectiveness of the "pruning" method used to skip cases with no solutions. The approach utilized is to construct a weighted graph where every path through th… Show more
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