Analogues of the Smale and Hirsch theorems for cooperative Boolean and other discrete systems

DOI10.1080/10236190903357535zbMath1259.37013arXiv0711.0138OpenAlexW1986238789MaRDI QIDQ3225498

Winfried Just, Germán A. Enciso

Publication date: 21 March 2012

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.0138

zbMATH Keywords

periodic solutionsBoolean networksmathematical biologymonotone systems

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Protein sequences, DNA sequences (92D20) Dynamics induced by flows and semiflows (37C10) Monotone systems involving ordinary differential equations (34C12)

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Cooperative Boolean systems with generically long attractors I ⋮ Ordered dynamics in biased and cooperative Boolean networks ⋮ Cooperative Boolean systems with generically long attractors. II ⋮ Boolean delay equations: A simple way of looking at complex systems ⋮ Asymptotic stability criterion for nonlinear monotonic systems and its applications (review)

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