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arXiv · 2204.08350

Dynamical systems defined on simplicial complexes: symmetries, conjugacies, and invariant subspaces

Eddie Nijholt·Lee DeVille
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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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Eddie Nijholt, Lee DeVille. 2022-04-18. Dynamical systems defined on simplicial complexes: symmetries, conjugacies, and invariant subspaces. https://doi.org/10.1063/5.0093842

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