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A system of differential equations is proposed designed as to identifycommunities in weighted networks. The input is a symmetric connectivity matrix$A_{ij}$. A priori information on the number of communities is not needed. Toverify the dynamics, we prepared sets of separate, fully connected clusters. Inthis case, the matrix $A$ has a block structure of zeros and units. A noise isintroduced as positive random numbers added to zeros and subtracted from units.The task of the dynamics is to reproduce the initial block structure. In thistest, the system outperforms the modularity algorithm, if the number ofclusters is larger than four.

Communities in networks - a continuous approach