Dynamical systems defined on simplicial complexes: symmetries, conjugacies, and invariant subspaces
Dynamical Systems
2022-10-05 v1 Algebraic Topology
Classical Analysis and ODEs
Chaotic Dynamics
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.
Cite
@article{arxiv.2204.08350,
title = {Dynamical systems defined on simplicial complexes: symmetries, conjugacies, and invariant subspaces},
author = {Eddie Nijholt and Lee DeVille},
journal= {arXiv preprint arXiv:2204.08350},
year = {2022}
}