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Interacting open dynamics
- Source :
- Cahiers de Topologie et Géométrie différentielles catégoriques, Cahiers de Topologie et Géométrie différentielles catégoriques, 2020, 2020, LXI (4), p. 351-401
- Publication Year :
- 2020
- Publisher :
- arXiv, 2020.
-
Abstract
- 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.<br />Comment: Cahiers de Topologie et G{\'e}om{\'e}trie diff{\'e}rentielles cat{\'e}goriques, In press, 2020, LXI (4)
- Subjects :
- 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]
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Cahiers de Topologie et Géométrie différentielles catégoriques, Cahiers de Topologie et Géométrie différentielles catégoriques, 2020, 2020, LXI (4), p. 351-401
- Accession number :
- edsair.doi.dedup.....25c5ea430d148186f09965608ddc8f65
- Full Text :
- https://doi.org/10.48550/arxiv.2007.14784