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

Eddie Nijholt; Lee Deville

doi:10.1063/5.0093842

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

Research output: Contribution to journal › Article › peer-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 language	English (US)
Article number	093131
Journal	Chaos
Volume	32
Issue number	9
DOIs	https://doi.org/10.1063/5.0093842
State	Published - Sep 1 2022

ASJC Scopus subject areas

Applied Mathematics
Statistical and Nonlinear Physics
General Physics and Astronomy
Mathematical Physics

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10.1063/5.0093842

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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.",

author = "Eddie Nijholt and Lee Deville",

note = "The authors would like to acknowledge the anonymous referees for comments that significantly improved the manuscript. E.N. was supported by the Center for Research in Mathematics Applied to Industry (FAPESP Cemeai Grant No. 2013/07375-0) and by the Serrapilheira Institute (Grant No. Serra-1709-16124).",

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

Abstract

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