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.
Dynamical systems defined on simplicial complexes: Symmetries, conjugacies, and invariant subspaces
Note: This article is part of the Focus Issue, Dynamics on Networks with Higher-Order Interactions.
Eddie Nijholt, Lee DeVille; Dynamical systems defined on simplicial complexes: Symmetries, conjugacies, and invariant subspaces. Chaos 1 September 2022; 32 (9): 093131. https://doi.org/10.1063/5.0093842
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