On a theorem of Fran\c{c}ois Robert
Dynamical Systems
2025-02-20 v1 Combinatorics
Abstract
A well-known theorem by Fran\c{c}ois Robert expresses the degenerated character of a synchronous Boolean finite dynamical system, in the case where the associated regulatory graph does not contain any circuit: all states of the system go towards a single fixed point. We present a large family of updating modes of Boolean models with the same particularity.
Keywords
Cite
@article{arxiv.2502.13750,
title = {On a theorem of Fran\c{c}ois Robert},
author = {Brigitte Mossé and Sasha Pignol and Elisabeth Remy},
journal= {arXiv preprint arXiv:2502.13750},
year = {2025}
}
Comments
8 pages, 2 figures