Figure. 1 “Classic” dynamics on networks vs. Dirac-Bianconi coupling (IMAGE)
Caption
In the dynamics of network framework, the dynamics take place on the nodes, as depicted in the Figure by the variables u and v, while the interactions between the dynamical units are modeled via the links. When dealing with topological signals, the dynamics take place not only on the nodes, but also on the links, triangles and higher-order simplexes. As an example, we show a 2-simplicial complex, i.e., a simplicial complex made of nodes, links and triangles, where the dynamical variables are u, v and w which are defined on the nodes, links and triangles, respectively, and are coupled via the Bianconi-Dirac operator.
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