Abstract
This is an investigation of natural systems from the standpoint of the mathematical theory of categories. It examines the relationships which exist between different descriptions through measurement of observables and dynamical interactions. We begin with a category theory of formal systems with observables, and then proceed to a category theory of dynamical systems. The two categories are then combined to represent natural systems. Topological considerations enter in the study of stability and bifurcation phenomena. Special emphasis is placed on natural systems which model biological processes. The categorical system theory developed is applied to the analysis of several biological problems and biological system theories.
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Louie, A.H. Categorical system theory. Bltn Mathcal Biology 45, 1047–1072 (1983). https://doi.org/10.1007/BF02458830
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DOI: https://doi.org/10.1007/BF02458830