Diffusion-driven instability of topological signals coupled by the Dirac operator.

  title={Diffusion-driven instability of topological signals coupled by the Dirac operator.},
  author={Lorenzo Giambagli and Lucille Calmon and Riccardo Muolo and Timot{\'e}o Carletti and Ginestra Bianconi},
  journal={Physical review. E},
  volume={106 6-1},
The study of reaction-diffusion systems on networks is of paramount relevance for the understanding of nonlinear processes in systems where the topology is intrinsically discrete, such as the brain. Until now, reaction-diffusion systems have been studied only when species are defined on the nodes of a network. However, in a number of real systems including, e.g., the brain and the climate, dynamical variables are not only defined on nodes but also on links, faces, and higher-dimensional cells… 
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