Local cycles and dynamical properties of Boolean networks

DOI10.1017/S096012951400036XzbMath1373.37035OpenAlexW2025973869MaRDI QIDQ5741576

Paul Ruet

Publication date: 28 July 2016

Published in: Mathematical Structures in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s096012951400036x

zbMATH Keywords

Jacobian matriceslocal cycleand-or-net

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Dynamical aspects of cellular automata (37B15) Boolean functions (06E30)

Related Items (6)

From multivalued to Boolean functions: preservation of soft nested canalization ⋮ Average sensitivity of nested canalizing multivalued functions ⋮ Local Negative Circuits and Cyclic Attractors in Boolean Networks with at most Five Components ⋮ On the conversion of multivalued to Boolean dynamics ⋮ Negative local feedbacks in Boolean networks ⋮ Asynchronous Boolean networks and hereditarily bijective maps

Cites Work

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• Multistationarity, the basis of cell differentiation and memory. I. Structural conditions of multistationarity and other nontrivial behavior
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• On Differentiation and Homeostatic Behaviours of Boolean Dynamical Systems
• The discrete Markus–Yamabe problem
• Derivation of vector-valued Boolean functions

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