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arXiv · 1903.07913

Complexity of the dynamics of reaction systems

Alberto Dennunzio·Enrico Formenti·Luca Manzoni·Antonio E. Porreca
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Abstract

Reaction systems are discrete dynamical systems inspired by bio-chemical processes, whose dynamical behaviour is expressed by set-theoretic operations on finite sets. Reaction systems thus provide a description of bio-chemical phenomena that complements the more traditional approaches, for instance those based on differential equations. A comprehensive list of decision problems about the dynamical behavior of reaction systems (such as cycles and fixed/periodic points, attractors, and reachability) is provided along with the corresponding computational complexity, which ranges from tractable problems to PSPACE-complete problems.

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Alberto Dennunzio, Enrico Formenti, Luca Manzoni, Antonio E. Porreca. 2019-03-19. Complexity of the dynamics of reaction systems. https://doi.org/10.1016/j.ic.2019.03.006

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