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math.DS2025
Categorical foundations of discrete dynamical systems
Daniel Carranza, Chris Kapulkin, Nathan Kershaw +2
We develop categorical foundations of discrete dynamical systems, aimed at understanding how the structure of the system affects its dynamics. We introduce the notion of cycle sets…
math.DS2024
Beyond Boolean networks: new tools for the steady state analysis of multivalued networks
J. García Galofre, M. Pérez Millán, A. Galarza Rial +2
Boolean networks can be viewed as functions on the set of binary strings of a given length, described via logical rules. They were introduced as dynamic models into biology, in par…
math.DS2024
Modular Construction of Boolean Networks
Matthew Wheeler, Claus Kadelka, Alan Veliz-Cuba +2
Boolean networks have been used in a variety of settings, as models for general complex systems as well as models of specific systems in diverse fields, such as biology, engineerin…