Multi-state sequential Boolean networks: An analysis of its combinatorial dynamics

Juan A. Aledo, Jose P. Llano and Jose C. Valverde

Applied Mathematics and Computation, 2025, vol. 489, issue C

Abstract: Multi-state Boolean networks model the behavior of interrelated (non-binary) Boolean entities over time. These networks can be used in several contexts, and extend the usual (simpler) binary-state Boolean networks. Leveraging the established knowledge of binary-state Boolean networks, we explore the dynamics of sequential multi-state Boolean networks, where their entities or nodes have states which belong to a (general) Boolean algebra with more than two elements and whose updates are determined in an specific order. This study contributes to the advancement of multi-state Boolean networks, enriching their theoretical knowledge and practical utility.

Keywords: Network models; Multi-state Boolean networks; Combinatorial dynamics; Fixed points; Types of periodic orbits (search for similar items in EconPapers)
Date: 2025
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:489:y:2025:i:c:s0096300324005769

DOI: 10.1016/j.amc.2024.129115

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