An algorithmic pipeline for solving equations over discrete dynamical systems modelling hypothesis on real phenomena

Autor:	Dennunzio, A, Formenti, E, Margara, L, Riva, S
Přispěvatelé:	Dennunzio, A, Formenti, E, Margara, L, Riva, S
Rok vydání:	2023
Předmět:	General Computer Science Hypothesis on phenomena Modeling and Simulation Discrete modelling FOS: Mathematics Dynamical Systems (math.DS) Mathematics - Dynamical Systems Finite discrete dynamical system Theoretical Computer Science
Zdroj:	Journal of Computational Science. 66:101932
ISSN:	1877-7503
DOI:	10.1016/j.jocs.2022.101932
Popis:	This paper provides an algorithmic pipeline for studying the intrinsic structure of a finite discrete dynamical system (DDS) modelling an evolving phenomenon. Here, by intrinsic structure we mean, regarding the dynamics of the DDS under observation, the feature of resulting from the "cooperation" of the dynamics of two or more smaller DDS. The intrinsic structure is described by an equation over DDS which represents a hypothesis over the phenomenon under observation. The pipeline allows solving such an equation, i.e., validating the hypothesis over the phenomenon, as far the asymptotic behavior and the number of states of the DDS under observation are concerned. The results are about the soundness and completeness of the pipeline and they are obtained by exploiting the algebraic setting for DDS introduced in [10]. Comment: Accepted for publication by Journal of Computational Science
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4563802bde4cc59f10b04e80404c367 https://doi.org/10.1016/j.jocs.2022.101932 Zobrazit plný text záznamu Full Text from ScienceDirect