Positive circuits and maximal number of fixed points in discrete dynamical systems

DOI10.1016/j.dam.2009.06.017zbMath1193.05085OpenAlexW2109464430MaRDI QIDQ967384

Adrien Richard

Publication date: 28 April 2010

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2009.06.017

zbMATH Keywords

fixed pointinteraction graphgene network

Mathematics Subject Classification ID

Directed graphs (digraphs), tournaments (05C20) Locally compact abelian groups (LCA groups) (22Bxx)

Related Items

Fixed Points of Boolean Networks, Guessing Graphs, and Coding Theory ⋮ Modeling and Analysis of Gene Regulatory Networks ⋮ On the relationship of steady states of continuous and discrete models arising from biology ⋮ Combinatorics of Boolean automata circuits dynamics ⋮ Positive and negative cycles in Boolean networks ⋮ Static Analysis of Boolean Networks Based on Interaction Graphs: A Survey ⋮ Fixed points and connections between positive and negative cycles in Boolean networks ⋮ Negative circuits and sustained oscillations in asynchronous automata networks ⋮ Analysis of discrete bioregulatory networks using symbolic steady states ⋮ ``Immunetworks, intersecting circuits and dynamics ⋮ On the rank and periodic rank of finite dynamical systems ⋮ Nilpotent dynamics on signed interaction graphs and weak converses of Thomas' rules

Uses Software

• Ginsim

Cites Work

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