Communications Physics (Oct 2022)
Dirac synchronization is rhythmic and explosive
Abstract
Topological signals are dynamical variables that can be associated to nodes, links, triangles, etc. Here, the authors formulate Dirac synchronization that uses the Dirac operator to couple locally topological signals defined on nodes and links and show, numerically and analytically, that this gives rise to an explosive synchronization transition and to a coherent rhythmic phase.