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

Eddie Nijholt, Lee Deville

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Article number093131
JournalChaos
Volume32
Issue number9
DOIs
StatePublished - Sep 1 2022

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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