Dynamical systems defined on simplicial complexes: symmetries, conjugacies, and invariant subspaces
arXiv:2204.08350 · doi:10.1063/5.0093842
Abstract
We consider the general model for dynamical systems defined on a simplicial complex. We describe the conjugacy classes of these systems and show how symmetries in a given simplicial complex manifest in the dynamics defined thereon, especially with regard to invariant subspaces in the dynamics.
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