Interacting open dynamics
| Autor: | Dugowson, Stéphane |
|---|---|
| Přispěvatelé: | Laboratoire d'Ingénierie des Systèmes Mécaniques et des MAtériaux (LISMMA), Université Paris 8 Vincennes-Saint-Denis (UP8)-SUPMECA - Institut supérieur de mécanique de Paris (SUPMECA), SUPMECA - Institut supérieur de mécanique de Paris (SUPMECA), Laboratoire QUARTZ (QUARTZ ), Université Paris 8 Vincennes-Saint-Denis (UP8)-SUPMECA - Institut supérieur de mécanique de Paris (SUPMECA)-Ecole Nationale Supérieure de l'Electronique et de ses Applications (ENSEA)-Ecole Internationale des Sciences du Traitement de l'Information (EISTI) |
| Rok vydání: | 2020 |
| Předmět: |
Connectivity
Systemic [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] Lax functors Mathematics - Category Theory Complex Systems Dynamical Systems (math.DS) Categories Borromean knot Interactivity Topos [MATH.MATH-GN]Mathematics [math]/General Topology [math.GN] FOS: Mathematics Compositionality Category Theory (math.CT) Mathematics - Dynamical Systems Open Dynamics 18B10 37B99 54A05 54H20 18A25 [MATH.MATH-CT]Mathematics [math]/Category Theory [math.CT] |
| Zdroj: | Cahiers de Topologie et Géométrie différentielles catégoriques Cahiers de Topologie et Géométrie différentielles catégoriques, 2020, 2020, LXI (4), p. 351-401 |
| DOI: | 10.48550/arxiv.2007.14784 |
| Popis: | This paper presents the basic concepts of a systemic theory of interaction between non-deterministic open dynamics with varying temporalities, which includes three stages: the definition of these dynamics as lax-functors, the notion of interaction -- which uses some notions of requests, synchronizations and social modes (privacy) -- and finally the generation of open global dynamics. Some connectivity structures of an interaction are defined, but the other aspects of dynamical connectivity are left to further work. Comment: Cahiers de Topologie et G{\'e}om{\'e}trie diff{\'e}rentielles cat{\'e}goriques, In press, 2020, LXI (4) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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